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.

Answer 1

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

Step-by-step 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