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Circumference and Perimeter Practice
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Circumference and Perimeter Practice
Use π on your calculator. Give decimal answers to 2 decimal places unless a question asks for an exact answer. Include units where needed.
Circumference
1.A circular pond has a radius of 3.8 m. Calculate its circumference.
2.A bicycle wheel has a diameter of 68 cm. Find the distance around the wheel, to 2 decimal places.
3.A round table has a radius of 0.75 m. Calculate its circumference in metres, to 2 decimal places.
4.A circular track has a circumference of 94.25 m. Approximately what is its diameter? Give your answer to 2 decimal places.
5.Which formula calculates the circumference when the diameter is known?
- C = 2πr
- C = πd
- C = πr²
- C = d ÷ π
Perimeter of Sectors and Composite Shapes
6.A sector has radius 9 cm and a central angle of 80°. Find its perimeter, including both radii. Round to 2 decimal places.
7.A rectangular patio is 8 m long and 3 m wide. A semicircle with diameter 8 m is attached along one 8 m side. Find the outside perimeter of the combined patio. Round to 2 decimal places.
8.A quarter-circle has radius 6 cm. Its perimeter consists of the two radii and the curved arc. Calculate the perimeter to 2 decimal places.
9.A sector has radius 15 cm and an arc length of 5π cm. Work out its central angle in degrees, then calculate the sector perimeter to 2 decimal places.
10.A circular fountain has a circumference of 31.42 m. A straight path runs across it through the centre. Find the path's length to 2 decimal places.
Match the Measurement
11.Match each description on the left with the correct formula on the right. Write the formula letter beside each description.
- Circumference when radius r is known
- Circumference when diameter d is known
- Area of a circle with radius r
- Arc length of a sector with angle θ and radius r
- B. 2πr
- A. πr²
- D. πd
- C. (θ/360) × 2πr
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