A = πr²: Real-world Applications in Sports & Fitness
Mathematics
GCSE Higher
15 questions
~30 mins
1 views0 downloads
About This Worksheet
A worksheet exploring the area of circles using A = πr², focusing on sports and fitness contexts.
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A = πr²: Real-world Applications in Sports & Fitness
Subject: MathematicsGrade: GCSE Higher
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Untitled Worksheet
Grade GCSE Higher
A
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the area of a basketball with radius 12 cm.
[2 marks]2.
Find the radius of a swimming pool if its area is 150.8 m².
[2 marks]3.
A circular disc has an area of 78.5 cm². What is its radius?
[2 marks]4.
Calculate the area of a football with diameter 22 cm.
[2 marks]B
Problem Solving & Reasoning
Answer all questions. Show detailed working.
1.
A circular running track has a radius of 36 meters. Calculate the area enclosed. If the track is to be resurfaced and the cost is £15 per m², what is the total cost?
[4 marks]2.
A cyclist’s wheel has a radius of 0.35 meters. How much area does the wheel cover in one full turn?
[3 marks]3.
A sports field has a circular running zone with an area of 500 m². Find the radius of the zone.
[2 marks]4.
The diameter of a new fitness ball is 65 cm. Calculate its surface area.
[3 marks]5.
A circular track has an area of 1000 m². What is its radius? (Use π ≈ 3.14)
[2 marks]C
Challenge & Extension
Answer all questions. Provide detailed solutions where appropriate.
1.
A circular jogging area has a radius of 50 meters. A new walking path is to be created around the inside edge, reducing the area by 25%. What should be the radius of the inner circle?
[4 marks]2.
A circular sports court has an area of 785.4 m². If a player wants to mark a smaller circle inside, which has an area of 196.35 m², what is the radius of this inner circle?
[3 marks]D
Mixed Review
Answer all questions. Include all necessary calculations.
1.
Construct a circle with an area of 50 cm². What is its radius?
[3 marks]2.
Calculate the area of a tennis court with a diameter of 23 meters.
[2 marks]3.
A circular disc is cut from a larger circle with radius 8 cm, leaving a smaller circle at the center. The smaller circle has a radius of 3 cm. Find the area of the ring formed.
[3 marks]E
Error Analysis
Review the mistakes below. Identify and correct the errors.
1.
A student calculates the area of a circle with radius 10 cm as 200 cm². What is the mistake, and what is the correct area?
[2 marks]Quick Actions
What is Remix?
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet