Question

The circumference of a circle is 19π cm. What is the area, in square centimeters?

Answer 1

• the required area of the circle, in square centimeters is 90.25 π cm²

Explanation:

Circumference of circle is calculated by,

• Circumference (circle) = 2π r

where r is the radius of the circle

• 19π = 2πr

dividing both sides by 2π

• 9.5 = r

Radius of the circle = 9.5 cm.

Now we are given to calculate the area, in square centimeters.

Area (circle) = πr²

• Area (circle) = π (9.5)²
• Area (circle) = 90.25 π cm²

• Hence the required area of the circle, in square centimeters is 90.25 π cm²