Mastering Circles: Area & Circumference

Mathematics
GCSE Higher
12 questions
~24 mins
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About This Worksheet

A worksheet covering Circles: Area & Circumference for GCSE Higher students.

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Mastering Circles: Area & Circumference

Subject: MathematicsGrade: GCSE Higher
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Untitled Worksheet

Grade GCSE Higher
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the circumference of a circle with radius 7 cm. (Use π ≈ 3.14)
[2 marks]
2.
Find the area of a circle with diameter 10 cm. (Use π ≈ 3.14)
[2 marks]
3.
What is the radius of a circle if its circumference is 31.4 cm? (Use π ≈ 3.14)
[2 marks]
4.
Calculate the area of a circle with radius 12 cm. (Use π ≈ 3.14)
[2 marks]
5.
A circle has a circumference of 50.24 cm. Find its radius. (Use π ≈ 3.14)
[2 marks]
6.
Determine the area of a circle with diameter 14 cm. (Use π ≈ 3.14)
[2 marks]
7.
A circular pond has a radius of 9 m. What is its circumference?
[2 marks]
8.
The area of a circle is 78.5 cm². Find its radius. (Use π ≈ 3.14)
[3 marks]
9.
A wheel has a diameter of 60 cm. Calculate the length of the arc subtended by a 30° angle at the center. (Use π ≈ 3.14)
[3 marks]
10.
A circular track has a circumference of 400 meters. If a runner completes 1/4 of the track, how many meters does the runner cover?
[2 marks]
11.
Challenge: A garden is designed as a circle with a radius of 15 meters. A pathway is to be built around the garden, 2 meters wide. Calculate the area of the pathway.
[4 marks]
12.
Real-world Application: A satellite dish is a perfect circle with a diameter of 1.2 meters. If the dish is to be painted with a coating that costs $15 per square meter, what is the total cost to paint the entire dish?
[4 marks]

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Details

Created
12/30/2025
Updated
12/30/2025
Type
worksheet