Find the area of the sector
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A circle has a total central angle of 2π. If the angle is 5π/4, it would represent:
(5π/4)/2π = 5π/8π = 5/8
Or about 5/8 the area of the entire circle. Now find the total area, and multiply it by this fraction:
Total Area = πr^2 = π(4)^2 = 16π square yards
So...
Sector Area = (5/8)16π = 10π square yards
Hope that helps.
(5π/4)/2π = 5π/8π = 5/8
Or about 5/8 the area of the entire circle. Now find the total area, and multiply it by this fraction:
Total Area = πr^2 = π(4)^2 = 16π square yards
So...
Sector Area = (5/8)16π = 10π square yards
Hope that helps.