complete question:
The green area in the figure above represents a section of grass for a putting green. Find the area of the sector of grass.
A. A= 32π ft²
B. A= 6π ft²
C. A= 36π ft²
D. A= 72π ft²
Answer:
C. A= 36π ft²
Explanation:
The image below is where your question emanated. The area of the sector of grass can be calculated below.
Area of a sector = ∅/360 × πr²
where
∅ = angle from the center of the circle
r = radius
Area of a sector = ∅/360 × πr²
r = 12 ft
∅ = 90°
Area of a sector = 90/360 × π × 12²
Area of a sector = 90/360 × π × 144
Area of a sector = 1/4 × 144π
Area of a sector = 144π/4
Area of a sector = 36π ft²