Question

In the sector of a circle with a radius of 6, where the area is 9∏\5, what is the radian measure of:

a)3/2∏
b)4/3∏
c)5/3∏
d)7/4∏

Answer 1

The radian measure of the sector is π/5.

Step-by-step explanation:

To find the radian measure of the sector of the circle with a given area, we can use the formula for the area of a sector: A = (θ/2) * r^2, where A is the area, θ is the radian measure, and r is the radius. In this question, we are given that the area of the sector is 9π/5 and the radius is 6.

Substituting these values into the formula, we have (9π/5) = (θ/2) * 6^2. Simplifying, we get (9π/5) = 18θ.

Dividing both sides by 18, we find θ = π/5. Therefore, the radian measure of the sector is π/5.