Q. 124.0( 4 Votes )

The area of the sector of a circle of radius 10.5 cm is 69.3 cm2. Find the central angle of the sector.

Answer :


Consider the circle shown above,


We know , Area of sector


Where R = radius of the circle and θ = central angle


Given R = 10.5 cm and Area of sector = 69.3 cm2


Let the angle subtended at centre = θ


Put the values of R and area of sector in equation 1








θ = 72°


The central angle of the sector is 72°.


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