Both circle a and circle b have a central angle measuring 50°. the area of circle a's sector is 36π cm2, and the area of circle r's sector is 64π cm2. which is the ratio of the radius of circle q to the radius of circle r?

The ratio of the radius of circle A to the radius of circle B are 3:4.

Explanation:

Area of a circle is

Let radius of circle A and circle B are r₁ and r₂ receptively.

Both circle A and circle B have a central angle measuring 50°.

Area of A's sector is

Area of B's sector is

The area of circle A's sector is 36π cm2, and the area of circle R's sector is 64π cm2. So, the ratio of area is

Cancel out the common factors.

Taking square root on both sides.

Therefore, the ratio of the radius of circle A to the radius of circle B are 3:4.