# Answer on Trigonometry Question for matthew

Question #32862

If the central angle =10 rad, and the area of the sector formed is 25 square units, find the area of the circle.

Expert's answer

This sector area is S=pi*r^2*(10-2pi)/2pi=pi*r^2*0.592=25 So area of the circle is pi*r^2=42.26 square units.

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