Question

A circle has a circumference of 12. What is the area of the circle and how do you find it?

Answer 1

Answer:36cm

Step-by-step explanation:The area of a circle is pi times the radius squared (A = π r²

a) Diameter is 12cm

; (b) radius is 6cm

; and (c) area is 36πcm2.

Explanation:If r is the radius of a circle, then its circumference is 2πr

and area is πr2.

As circumference is given to be 12π, we have 2πr=12π

or r=12π2π=6cm.

As such radius is 6cm

and diameter being double of radius, diameter is 2×6=12cm.

and area is π×62=36 cm2

.