Paper 1F June 2025 (R) Foundation tier, Question 13 2 marks
A circle has radius 6.4 cm
Work out the area of the circle. Give your answer correct to 3 significant figures.
Reveal mark scheme
- Home
- IGCSE
- Mathematics
- Edexcel
- Circumference, area of circles and sectors
Edexcel IGCSE Maths
Topic questions Geometry and measures Circumference, area of circles & sectors
Circumference, area of circles & sectors
45 questions · 177 marks · about 3.5 hours
Circumference, area of circles and sectors questions
TopicCircumference, area of circles & sectors▾
Edexcel 4MA1 Circumference, area of circles and sectors 45 questions
Paper 1H June 2025 Higher tier, Question 11 2 marks
OABC is a sector of a circle, centre O
angle AOC = 140° OA = OC = 16 cm
Calculate the area of the sector. Give your answer correct to 3 significant figures.
Reveal mark scheme
Paper 1H June 2025 (R) Higher tier, Question 25 6 marks
Also involves Arc length and sector area · Rounding
BAC is a sector of a circle, centre A
BCD is a sector of a circle, centre C
Angle BAC = 40° Angle BCD = 130° Area of shaded segment = 28 cm2
Find the length of the arc BD Give your answer correct to 3 significant figures.
Reveal mark scheme
Paper 2F June 2025 Foundation tier, Question 15 2 marks
A circle has radius 16 cm
Calculate the circumference of the circle. Give your answer correct to 3 significant figures.
Reveal mark scheme
Paper 1H June 2024 Higher tier, Question 20 4 marks
Also involves Trigonometric ratios · Arc length and sector area · Pythagoras' theorem
The diagram shows a sector OABC of a circle centre O
Angle AOC = 60°
The area of the shaded segment ABC is 38 cm2
Work out the perimeter of the shaded segment ABC Give your answer correct to one decimal place.
Reveal mark scheme
Paper 2F June 2024 (R) Foundation tier, Question 21 4 marks
Also involves Equation of a circle · Area and perimeter
The diagram shows the design for a badge, which will be made using wire. The design is a circle inside a square ABCD
The circle touches the square at the points E, F, G and H
The area of the square is 81 cm2
Calculate the total length of wire that will be needed to make the square and the circle. Give your answer correct to 3 significant figures.
Reveal mark scheme
Paper 1H November 2023 Higher tier, Question 5 3 marks
The diagram shows a shaded shape made from three identical semicircles, X, Y and Z
ABCDE is a straight line.
AC is the diameter of semicircle X and B is the centre of semicircle X BD is the diameter of semicircle Y and C is the centre of semicircle Y CE is the diameter of semicircle Z and D is the centre of semicircle Z
AC = BD = CE = 20 cm
Work out the perimeter of the shaded shape. Give your answer correct to the nearest whole number.
Reveal mark scheme
Paper 2H November 2023 Higher tier, Question 20 4 marks
The diagram shows equilateral triangle ABC with sides of length 10 cm. A circle is drawn inside the triangle.
D, E and F are points on the circle.
ADB, BEC and CFA are tangents to the circle.
Calculate the total area of the regions shown shaded in the diagram. Give your answer correct to 3 significant figures.
Reveal mark scheme
Paper 1F June 2023 (R) Foundation tier, Question 20, also on the Higher paper 5 marks
The diagram shows a shape made up of three semicircles, enclosing a right‑angled triangle.
AB, BC and CA are each the diameter of a semicircle.
BC = CA = 6 cm.
Work out the perimeter of the shape. Give your answer correct to one decimal place.
Reveal mark scheme
Paper 1H June 2023 (R) Higher tier, Question 4, also on the Foundation paper 5 marks
The diagram shows a shape made up of three semicircles, enclosing a right‑angled triangle.
AB, BC and CA are each the diameter of a semicircle.
BC = CA = 6 cm.
Work out the perimeter of the shape. Give your answer correct to one decimal place.
Reveal mark scheme
Paper 1H June 2023 Higher tier, Question 22 6 marks
The diagram shows two circles with centre O and a regular pentagon ABCDE
A, B, C, D and E are points on the larger circle. The pentagon has sides of length 8 cm.
The diagram is shaded such that
shaded area = unshaded area
Work out the radius of the smaller circle. Give your answer correct to 3 significant figures.
Reveal mark scheme
Paper 2F June 2023 Foundation tier, Question 12 2 marks
A circle has radius 8.5 cm
Work out the circumference of the circle. Give your answer correct to 3 significant figures.
Reveal mark scheme
Paper 1F January 2023 Foundation tier, Question 23, also on the Higher paper 5 marks
The diagram shows a triangle ABC inside a semicircle.
A, B and C are points on the semicircle.
AB is the diameter of the semicircle.
Angle ACB = 90° Angle BAC = 50° AC = 18 cm
Work out the perimeter of the semicircle. Give your answer correct to 2 significant figures.
Reveal mark scheme
Paper 1F January 2023 (R) Foundation tier, Question 25, also on the Higher paper 4 marks
Also involves Parts of a circle
R and T are points on a circle, centre O
RT = 12 cm M is the midpoint of RT Angle ROM = 52
Work out the area of the circle. Give your answer correct to 3 significant figures.
Reveal mark scheme
Paper 1H January 2023 Higher tier, Question 8, also on the Foundation paper 5 marks
Also involves Circle theorems
The diagram shows a triangle ABC inside a semicircle.
A, B and C are points on the semicircle.
AB is the diameter of the semicircle.
Angle ACB = 90° Angle BAC = 50° AC = 18 cm
Work out the perimeter of the semicircle. Give your answer correct to 2 significant figures.
Reveal mark scheme
Paper 1H January 2023 (R) Higher tier, Question 10, also on the Foundation paper 4 marks
Also involves Parts of a circle
R and T are points on a circle, centre O
RT = 12 cm M is the midpoint of RT Angle ROM = 52
Work out the area of the circle. Give your answer correct to 3 significant figures.
Reveal mark scheme
Paper 1H January 2023 Higher tier, Question 21 5 marks
Also involves Compound measures
The diagram shows the cross section of a circular water pipe.
OABC is a sector of the circle, centre O
The shaded region in the diagram represents the water flowing in the pipe.
The water flows at 14 cm/s in the pipe.
Work out the volume of water that has flowed through the pipe in 3 minutes. Give your answer in cm3 correct to 3 significant figures.
Reveal mark scheme
Paper 2H January 2023 (R) Higher tier, Question 14 3 marks
Also involves Arc length and sector area · Rounding
A, B and C are points on a circle, centre O
The radius of the circle is 8.5 cm Angle ABC = 132°
Work out the perimeter of the shaded sector AOC Give your answer correct to 3 significant figures.
Reveal mark scheme
Paper 1H June 2022 Higher tier, Question 19 5 marks
OAB is a sector S of a circle with centre O and radius (r + 7) metres. Angle AOB = 45°
A circle C has radius (r − 2) metres.
The area of sector S is twice the area of circle C
Find the value of r Show your working clearly.
Reveal mark scheme
Paper 2F June 2022 (R) Foundation tier, Question 22, also on the Higher paper 4 marks
Also involves Powers and roots
The diagram shows a shape made from a square ABCD and 4 identical semicircles.
As shown in the diagram, the semicircles have AB, BC, CD and DA as diameters.
The area of the square is 36 cm2
Calculate the total area of the shape. Give your answer correct to one decimal place.
Reveal mark scheme
Paper 2H June 2022 (R) Higher tier, Question 5, also on the Foundation paper 4 marks
Also involves Area and perimeter
The diagram shows a shape made from a square ABCD and 4 identical semicircles.
As shown in the diagram, the semicircles have AB, BC, CD and DA as diameters.
The area of the square is 36 cm2
Calculate the total area of the shape. Give your answer correct to one decimal place.
Reveal mark scheme
Paper 2H June 2022 (R) Higher tier, Question 13 3 marks
The diagram shows a sector AOB of a circle with centre O
Angle AOB = 67
OA = OB = 5.2 cm
Calculate the perimeter of the sector. Give your answer correct to 3 significant figures.
Reveal mark scheme
Paper 1F January 2022 Foundation tier, Question 10 2 marks
A circle has a diameter of 14 cm.
Calculate the area of the circle. Give your answer correct to 3 significant figures.
Reveal mark scheme
Paper 1H January 2022 Higher tier, Question 16 4 marks
Also involves Arc length and sector area · Rounding
The diagram shows a circle with centre O
A, B and C are points on the circle so that the length of the arc ABC is 5 cm.
Given that angle AOC = 55
work out the area of the circle. Give your answer correct to one decimal place.
Reveal mark scheme
Paper 2F January 2022 (R) Foundation tier, Question 26, also on the Higher paper 5 marks
In the diagram, ABC is a right-angled triangle and DEF is a semicircular arc.
In triangle ABC
BC = 24 cm angle ABC = 90° angle BCA = 30°
The points D and F lie on AC so that DF is the diameter of the semicircular arc DEF The radius of the semicircular arc is 3 cm.
Work out the length of AFEDC Give your answer correct to 2 significant figures.
Reveal mark scheme
Paper 2H January 2022 (R) Higher tier, Question 9, also on the Foundation paper 5 marks
Also involves Arc length and sector area
In the diagram, ABC is a right-angled triangle and DEF is a semicircular arc.
In triangle ABC
BC = 24 cm angle ABC = 90° angle BCA = 30°
The points D and F lie on AC so that DF is the diameter of the semicircular arc DEF The radius of the semicircular arc is 3 cm.
Work out the length of AFEDC Give your answer correct to 2 significant figures.
Reveal mark scheme
Paper 1F November 2021 Foundation tier, Question 16, also on the Higher paper 5 marks
The diagram shows the front of a wooden door with a semicircular glass window.
Julie wants to apply 2 coats of wood varnish to the front of the door, shown shaded in the diagram.
250 millilitres of wood varnish covers 4 m2 of the wood.
Work out how many millilitres of wood varnish Julie will need. Give your answer correct to the nearest millilitre.
Reveal mark scheme
Paper 1H November 2021 Higher tier, Question 4, also on the Foundation paper 5 marks
The diagram shows the front of a wooden door with a semicircular glass window.
Julie wants to apply 2 coats of wood varnish to the front of the door, shown shaded in the diagram.
250 millilitres of wood varnish covers 4 m2 of the wood.
Work out how many millilitres of wood varnish Julie will need. Give your answer correct to the nearest millilitre.
Reveal mark scheme
Paper 1F January 2021 (R) Foundation tier, Question 13 2 marks
A circle has diameter 18 cm.
Work out the area of the circle. Give your answer correct to 3 significant figures.
Reveal mark scheme
Paper 1F January 2021 Foundation tier, Question 24, also on the Higher paper 3 marks
The region, shown shaded in the diagram, is a path.
The boundary of the path is formed by two semicircles, with the same centre O, and two straight lines.
The inner semicircle has a radius of 7 metres. The path has a width of 2 metres.
Work out the perimeter of the path. Give your answer correct to one decimal place.
Reveal mark scheme
Paper 1H January 2021 Higher tier, Question 8, also on the Foundation paper 3 marks
Also involves Area and perimeter
The region, shown shaded in the diagram, is a path.
The boundary of the path is formed by two semicircles, with the same centre O, and two straight lines.
The inner semicircle has a radius of 7 metres. The path has a width of 2 metres.
Work out the perimeter of the path. Give your answer correct to one decimal place.
Reveal mark scheme
Paper 2F January 2021 Foundation tier, Question 22 5 marks
Also involves Circle theorems
A, B and C are points on a circle with centre O.
AOC is a diameter of the circle.
AB = 8 cm BC = 15 cm
Angle ABC = 90
Work out the total area of the regions shown shaded in the diagram. Give your answer correct to 3 significant figures.
Reveal mark scheme
Paper 2H January 2021 (R) Higher tier, Question 2 3 marks
The diagram shows a rectangle ABCD and a semicircle with diameter AB where AB = 12 cm. The point E lies on DC and also on the semicircle.
Work out the area of the shaded region. Give your answer correct to 3 significant figures.
Reveal mark scheme
Paper 2H January 2021 (R) Higher tier, Question 11 4 marks
Also involves Arc length and sector area
A circle centre O has radius 9 cm.
Calculate the perimeter of the shaded sector of the circle. Give your answer correct to 3 significant figures.
Reveal mark scheme
Paper 2H January 2021 (R) Higher tier, Question 20 5 marks
Also involves Forming and solving equations
A, B and C are points on a circle with centre O.
Angle ABC = 75
The area of the shaded segment is 200 cm2
Calculate the radius of the circle. Give your answer correct to 3 significant figures.
Reveal mark scheme
Paper 1F November 2020 Foundation tier, Question 11 2 marks
A circle has radius 18 cm.
Work out the circumference of the circle. Give your answer correct to 3 significant figures.
Reveal mark scheme
Paper 1F November 2020 (R) Foundation tier, Question 15 2 marks
The diagram shows a circle, centre O, with radius 15 cm.
Work out the area of the circle. Give your answer in cm2 correct to the nearest whole number.
Reveal mark scheme
Paper 1F January 2020 (R) Foundation tier, Question 18, also on the Higher paper 3 marks
Also involves Area and perimeter
The diagram shows Yuen’s garden.
The garden is in the shape of a semicircle of radius 7.2 m. Yuen is going to cover his garden with grass seed.
Yuen has 12 boxes of grass seed. Each box of grass seed contains enough seed to cover 6 m2 of the garden.
Has Yuen enough grass seed for his garden? Show your working clearly.
Reveal mark scheme
Paper 1H January 2020 (R) Higher tier, Question 5, also on the Foundation paper 3 marks
The diagram shows Yuen’s garden.
The garden is in the shape of a semicircle of radius 7.2 m. Yuen is going to cover his garden with grass seed.
Yuen has 12 boxes of grass seed. Each box of grass seed contains enough seed to cover 6 m2 of the garden.
Has Yuen enough grass seed for his garden? Show your working clearly.
Reveal mark scheme
Paper 2F January 2020 Foundation tier, Question 27 5 marks
The diagram shows a shaded shape ABCD made from a semicircle ABC and a right‑angled triangle ACD.
AC is the diameter of the semicircle ABC.
Work out the perimeter of the shaded shape. Give your answer correct to 3 significant figures.
Reveal mark scheme
Paper 1F June 2019 Foundation tier, Question 23, also on the Higher paper 5 marks
The diagram shows a shape made from a right-angled triangle and a semicircle.
AC is the diameter of the semicircle. BA = BC = 6 cm Angle ABC = 90°
Work out the area of the shape. Give your answer correct to 1 decimal place.
Reveal mark scheme
Paper 1H June 2019 Higher tier, Question 9, also on the Foundation paper 5 marks
Also involves Pythagoras' theorem
The diagram shows a shape made from a right-angled triangle and a semicircle.
AC is the diameter of the semicircle. BA = BC = 6 cm Angle ABC = 90°
Work out the area of the shape. Give your answer correct to 1 decimal place.
Reveal mark scheme
Paper 2H June 2019 (R) Higher tier, Question 19 6 marks
Also involves Arc length and sector area
The diagram shows a sector OAPB of a circle, centre O.
AB is a chord of the circle. Angle AOB = 80°
The area of sector OAPB is 
cm2
Work out the perimeter of the shaded segment. Give your answer correct to 3 significant figures.
Reveal mark scheme
Paper 1F June 2018 Foundation tier, Question 20, also on the Higher paper 4 marks
Also involves Circle theorems
M, N and P are points on a circle, centre O. MON is a diameter of the circle.
MP = 3.5 cm PN = 9.7 cm
Angle MPN = 90°
Work out the circumference of the circle. Give your answer correct to 3 significant figures.
Reveal mark scheme
Paper 1H June 2018 Higher tier, Question 6, also on the Foundation paper 4 marks
M, N and P are points on a circle, centre O. MON is a diameter of the circle.
MP = 3.5 cm PN = 9.7 cm
Angle MPN = 90
Work out the circumference of the circle. Give your answer correct to 3 significant figures.
Reveal mark scheme
Report a problem with a question on this page
Memes
Certified Maths memes. Peer-reviewed by nobody.
Laugh now. Cry in the exam hall later. Then come back and do a past paper.
Learn the formula
Draw a vague triangle and hope
Using a calculator🧠
Using the formula sheet🧠
Doing it in your head🧠
Writing ‘by inspection’ and walking out🧠
Mum 💖
did you do your maths homework sweetie?? 🥰
yes I solved for x
proud of you!!!
📱 Screen time this week · TikTok6h 7m
Maths starter pack
📐Protractor you've never used🧮Calculator older than you✍️“Show your working” trauma🥷This website