A sector with an area of 26pie cm^2 has a radius of 6 cm. What is the central angle measure of the sector in radians?

The central angle measure of the sector in radians is .

Step-by-step explanation:

A sector of a circle is the portion of a circle enclosed by two radii and an arc. It resembles a "pizza" slice.

The area of a sector when the central angle is in radians is given by

where

r = radius

θ = central angle in radians

We know that the area of the sector is and the radius is 6 cm. Applying the above formula and solving for the central angle () we get that