Examples with solutions for Area of a Circle: Finding Area based off Perimeter and Vice Versa

Exercise #1

A circle has a circumference of

10π 10\pi cm. What is its area?

Video Solution

Answer

25π 25\pi cm²

Exercise #2

A circle has an area of 36π 36\pi .
What is the circumference?

Video Solution

Answer

12π 12\pi cm

Exercise #3

The circle below has a circumference of 8πa 8\pi a cm.

What is the area of the circle?

Video Solution

Answer

16πa2 16\pi a^2 cm

Exercise #4

A circle has a circumference of

3πx 3\pi x cm.

What is its area?

Video Solution

Answer

2.25πx2 2.25\pi x^2 cm²

Exercise #5

A circle has a circumference of 6.28.

C=6.28

What is its area?

Video Solution

Answer

π

Exercise #6

A circle has an area of 81a2π 81a^2\pi .

What is its circumference?

Video Solution

Answer

18aπ 18a\pi cm

Exercise #7

A circle has an area of πx24 \frac{\pi x^2}{4} cm².

What is its perimeter?

Video Solution

Answer

πx \pi x cm