Answer:
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