Question

9. Find the radius and the circumference of a circle whose area is 144 cm?​

Answer 1

Step-by-step explanation:

The radius and the circumference of a circle are 12 units and 24\pi24π units (75.36 units).

Step-by-step explanation:

Given,

Area of circle = 144\pi144π square

To find, the radius and the circumference of a circle = ?

Let radius of circle = r

We know that,

Area of circle =\pi r^{2}πr

2

⇒\pi r^{2}=144\piπr

2

=144π

⇒r^{2}=144r

2

=144

⇒r^{2}=12^{2}r

2

=12

2

∴ r = 12 units

Circumference of circle =2\pi r2πr

=24\pi=24π units

=24\times 3.14=24×3.14

= 75.36 units

Hence, the radius and the circumference of a circle are 12 units and 24\pi24π units (75.36 units).