A sector of area 26 square miles is formed by a central angle of 0.8 radians. Find the radius of the circle?

1 Answer
sankarankalyanam
Feb 21, 2018

Radius of the circle #r = color(green)(8.0623)# miles

Explanation:

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Sector area #A_s= (theta / cancel2pi) * cancelpi r2 = (theta/2) r^2#

Given #A_s = 26# sq miles, # theta = 0.8^c#

#:. r = sqrt(A_s * 2 ) / theta =sqrt (26 * 2) / 0.8 = color(green)(8.0623)# miles

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