Answer:
25π yd²
Explanation:
You want the exact area of a 40° sector of a circle of radius 15 yards.
Area
The area of a sector is given by ...
A = 1/2r²θ
where θ is the central angle in radians.
Radians
There are π radians in 180°, so there are (40/180)π = 2π/9 radians in 40°.
Sector
Then the area of the sector is ...
A = 1/2(15 yd)²(2π/9) = 25π yd²
The area of sector GPH is 25π square yards.
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