Examples with solutions for Area of a Circle: Calculate The Missing Side based on the formula

Exercise #1

A circle has an area of 25 cm².

What is its radius?

Video Solution

Step-by-Step Solution

Area of the circle:

S=πr2 S=\pi r^2

We insert the known data:

25=πr2 25=\pi r^2

Divide by Pi:25π=r2 \frac{25}{\pi}=r^2

Extract the root:25π=r \sqrt{\frac{25}{\pi}}=r

5π=r \frac{5}{\sqrt{\pi}}=r

Answer

5π \frac{5}{\sqrt{\pi}} cm

Exercise #2

Look at the circle in the figure below.

What is the radius of the circle?

Video Solution

Answer

3 cm

Exercise #3

Look at the circle in the figure.

What is the diameter of the circle?

Video Solution

Answer

14 cm