Question

The circumference of a circle is 13 pi cm. What is the area, in square centimeters?

Express your answer in terms of Pi

Answer 1

42.25π cm²

Explanation:

To find the area of the circle, first find its radius.

Formulas needed

• Circumference of circle= πD= 2πr
• Area of circle= πr²

Given: circumference= 13π cm

2πr= 13π

Divide both sides by 2π:

`r = (13)/(2)`

r= 6.5 cm

Now, we can find the area by substituting r= 6.5 into the area of circle formula.

Area of circle

= πr²

= π(6.5)²

= 42.25π cm²