Circumference, arc length, sector area
Edexcel GCSE Maths revision on Circumference, arc length, sector area. Aligned to the Pearson Edexcel GCSE Mathematics 1MA1 specification. This bank has 16 practice questions on this topic.
Sample questions (3 of 16)
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Question 1
What is the circumference of a circle with a diameter of 10 cm, using pi as 3.14?
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Answer: 31.4
The circumference is calculated by multiplying pi by the diameter. Here, 3.14 multiplied by 10 gives 31.4 cm.
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Question 2
A sector has a radius of 6 cm and an angle of 60 degrees. What is the area of this sector in square centimetres?
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Answer: 18.85
The area of the sector is calculated by (60/360) * pi * 6 squared. This simplifies to 1/6 * pi * 36, which is 6 * pi, resulting in approximately 18.85 square centimetres.
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Question 3
Which expression correctly represents the arc length of a circle with radius r and angle x?
- A) x/360 multiplied by 2 times pi times r
- B) x/360 multiplied by pi times r squared
- C) 360/x multiplied by 2 times pi times r
- D) 360/x multiplied by pi times r squared
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Answer: x/360 multiplied by 2 times pi times r
The correct answer is x/360 multiplied by 2 times pi times r because arc length is a fraction of the full circumference. The other options confuse the sector area formula or invert the fraction incorrectly.
Want to test yourself on the remaining cards for this topic?
13 more questions on Circumference, arc length, sector area — plus mistakes tracking and spaced repetition across the whole Maths spec.