The circle and the ball have the same radius. It is known that the area of a circle is 100n cm2.

The circle and the ball have the same radius. It is known that the area of a circle is 100n cm2. What is the radius and diameter of the ball?

In order to find the lengths of the radius and diameter of the ball, if it is known from the condition that the circle and the ball have the same radii. And it is also known that the area of a circle is 100n (100 pi) cm ^ 2.

Let’s start by remembering how to calculate the area of a circle.

S = n * R ^ 2.

Let’s express the radius of the circle from the formula:

R ^ 2 = S / n;

R = √S / п.

We just have to substitute the values into the formula and calculate:

R = √ (100p / п) = √100 = 10 cm radius of the circle, and therefore the ball.

D = 2 * R = 10 * 2 = 20cm diameter.