Answer:
The answer is D.
Explanation:
First, you have to find the area of circle using the formula :
A = π × r²
A = π × 3²
A = 9π
Given that PHU is an equilateral triangle so all sides have a degree of 60°. Next, you have to find the area of minor sector of P and U by using the formula :
A = (θ/360) × π × r²
A = (60/360) × π × 3²
A = 1.5π
Lastly, you have to subtract the area of sector from the area of circle in order to find the area of shaded region :
A = (9π × 2) - (1.5π × 2)
A = 18π - 3π
A = 15π