Question

Find the diameter of a circle and it's circumference if its area is 25π cm^2.​

Answer 1

Given:

Area of the circle = 25π cm^2

To Find:

The diameter and the circumference of the circle.

Formula:

Diameter = 2 × (Radius)

Circumference of a circle = 2πr

Area of a circle = πr^2

Explanation:

According to the question,

Area = 25π

πr^2 = 25π

radius, r = √25 cm = 5 cm

π gets cancelled because it is common in both the terms.

Diameter = 2 ( Radius )

Diameter = 2 ( 5 ) = 10 cm

Circumference = 2πr

Circumference = 2π(5)

Circumference = 10π cm

Answer:

The diameter of the circle is 10 cm.

The circumference of the circle is 10π cm.

Answer 2

Given:

Area of the circle = 25π cm^2

To Find:

The diameter and the circumference of the circle.

Formula:

Diameter = 2 × (Radius)

Circumference of a circle = 2πr

Area of a circle = πr^2

Explanation:

According to the question,

Area = 25π

πr^2 = 25π

radius, r = √25 cm = 5 cm

π gets cancelled because it is common in both the terms.

Diameter = 2 ( Radius )

Diameter = 2 ( 5 ) = 10 cm

Circumference = 2πr

Circumference = 2π(5)

Circumference = 10π cm

Answer:

The diameter of the circle is 10 cm.

The circumference of the circle is 10π cm.