A rectangle is inscribed in the circle, the lengths of the sides of which are equal to 9 cm and 12 cm.

A rectangle is inscribed in the circle, the lengths of the sides of which are equal to 9 cm and 12 cm. Calculate the radius of the circle.

A rectangle is inscribed in the circle;

Rectangle length = 9 cm;

Rectangle width = 12 cm.

Let’s calculate the radius of the circle.

In order to find the radius, we apply the following formula:

R = d / 2 = √ (a ^ 2 + b ^ 2) / 2;

Substitute the known values and calculate the radius of the circle.

R = √ ((9 cm) ^ 2 + (12 cm) ^ 2) / 2 = √ (81 cm ^ 2 + 144 cm ^ 2) / 2 = √ (225 cm ^ 2) / 2 = 15/2 cm = 7.5 cm;

Hence, we find that the radius of the circle is R = 7.5 cm.