Question

if circumference of a circle is 16pi
cm what is its area​

Answer 1

Answer:

64π is the area of the circle

Step-by-step explanation:

See attachment

Answer 2

Given,

The circumference of a circle = 16π cm

To find,

The area of the circle.

Solution,

The area of the circle will be 64 cm³.

According to the question,

The circumference of a circle = 16π cm

The formula to find the circumference of a circle is as follows:

C = 2πr where r is the radius of the circle

2πr = 16π cm

2r = 16 cm

r = (16/2) cm

r = 8 cm

We know that the formula to find the area of a circle is given as follows:

A = πr²

A = π(8)² cm²

A = 64π cm²

(Note that we can also solve it further by putting the value of π as 22/7 or 3.14 but we have not done it here because the question was given with π.)

Hence, the area of the circle is 64π cm².