Circumference
Calculate the circumference of a circle given the radius or diameter, and find the radius given the circumference.
Worked examples
Circumference given radius
Straightforward
Problem
Find the circumference of a circle with radius cm. Give your answer correct to 2 decimal places. Use .
1
Recall the circumference formula using radius.
2
Substitute and .
3
Multiply first.
4
Complete the multiplication and round to 2 decimal places.
Answer
cm
Circumference given diameter
Moderate
Problem
Find the circumference of a circle with diameter m. Give your answer correct to 2 decimal places. Use .
1
When the diameter is given, use the formula .
2
Substitute and .
3
Multiply and round to 2 decimal places.
Answer
m
Finding the radius given circumference
Challenging
Problem
A circle has a circumference of m. Find the radius correct to 2 decimal places. Use .
1
Write the circumference formula.
2
Rearrange to make the subject.
3
Calculate using .
4
Substitute and divide.
Answer
m
Practise
Q1·Straightforward
Find the circumference of a circle with radius cm. Give your answer correct to 2 decimal places. Use .
Explanation
Substitute into the formula:
Q2·Straightforward
Find the circumference of a circle with radius m. Give your answer correct to 2 decimal places. Use .
Explanation
Substitute into the formula:
Q3·Straightforward
Find the circumference of a circle with radius cm. Give your answer correct to 2 decimal places. Use .
Explanation
Substitute into the formula:
Q4·Straightforward
Find the circumference of a circle with radius m. Give your answer correct to 2 decimal places. Use .
Explanation
Substitute into the formula:
Q5·Moderate
Find the circumference of a circle with diameter cm. Give your answer correct to 2 decimal places. Use .
Explanation
Substitute into the formula:
Q6·Moderate
Find the circumference of a circle with diameter m. Give your answer correct to 2 decimal places. Use .
Explanation
Substitute into the formula:
Q7·Moderate
Find the circumference of a circle with diameter cm. Give your answer correct to 2 decimal places. Use .
Explanation
Substitute into the formula:
Q8·Moderate
Find the circumference of a circle with diameter m. Give your answer correct to 2 decimal places. Use .
Explanation
Substitute into the formula:
Q9·Challenging
A circle has a circumference of m. Find the radius correct to 2 decimal places. Use .
Explanation
Rearrange the formula and substitute:
Q10·Challenging
A circle has a circumference of cm. Find the radius correct to 2 decimal places. Use .
Explanation
Rearrange the formula and substitute:
Q11·Challenging
A circle has a circumference of m. Find the radius correct to 2 decimal places. Use .
Explanation
Rearrange the formula and substitute:
Q12·Challenging
A circle has a circumference of cm. Find the radius correct to 2 decimal places. Use .
Explanation
Rearrange the formula and substitute: