Question

The measure of central angle ABC is π/2 radians. what is the area of the shaded sector

Answer 1

9 pi units sq2 , the second one

Explanation:

Answer 2

For this case we have that the area of the shaded region, is given by:

`A = (s' / s) * (\pi) * (r ^ 2)`
Where,
s' / s: relationship between central angle and full angle of the circle
r: radius of the circumference.
Substituting values we have:

`A = (90/360) * (\pi) * (6 ^ 2) A = (1/4) * (\pi) * (36) A = 9 \pi`
Answer:
The area of the shaded sector is:

`A = 9 \pi`
option 2