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Grade 7 - Mathematics
Angle of a Sector

Find the angle of a sector of a circle whose area is 1/4th of the circle.

Area of a circle = pr2.
Area of a sector is = q/360opr2.
Here (1/4)pr2 = (q/360o)pr2.
i.e 1/4 = q/360o
i.e q = 360/4 = 90o.

Directions: Read the above example carefully and answer the following questions. Also write 10 examples of your own.