Find the radius r of each circle if the area of the sector is 24.

label Calculus
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Oct 6th, 2015

Hello!

The area of a sector is a corresponding part of the circle area:

A = (pi*r^2)*(a/2pi) = r^2*(a/2),

where a is the sector's angle in radians.

Therefore r^2 = 2A/a = 48/a, r = sqrt(48/a).


ar = sqrt(48/0.7) = approx. 8,28.

b) 110 degrees is (pi/180)*100 = 5pi/9 radians,

r = sqrt[48/(5pi/9)] = approx. 5,24.

Please ask if something is unclear.
Oct 6th, 2015

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