Question

the area of a circle is 9 Pi R Square . its circumference is​

Answer 1

Given:

The area of a circle = $9\pi R^{2}$

Let r be the radius of circle.

We have to find, the circumference of a circle.

Solution:

We know that:

The area of a circle = $\pi r^{2}$

∴  $\pi r^{2}$ = $9\pi R^{2}$

⇒ $r^{2}$ = $9R^{2}$

⇒ $r^{2}$ = $(3R)^{2}$

⇒ r = 3R

∴ The circumference of a circle = 2πr

The circumference of a circle = 2π(3R)

= 6πR

∴ The circumference of a circle = 6πR

Thus, the circumference of a circle is "equal to 6πR".

Answer 2

Given : Area of a circle is 9 π R²

To Find : circumference

Solution:

Area of circle = π ( Radius)²

Circumference of circle = 2π Radius

Area of circle  is given = 9 π R²

π ( Radius)² = 9 π R²

=> ( Radius)² = 9R²

=> Radius = 3R

Circumference of circle = 2π Radius

=> Circumference of circle = 2π (3R)

=> Circumference of circle = 6πR

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