Question

in a circle of radius 10.5 CM the main minor Arc is one fifth of the major arc find the area of the sector corresponding to the major arc

Answer 1

HEY DEAR ... ✌️

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radius of the circle r = 10.5 cm


and minor arc is one fifth of the major arc.


let the major arc subtend the angle θ on the circumference.


therefore minor arc subtend angle (360 - θ) on the circumference.


minor arc = 1/5* major arc
2πr*360-θ360=15*2πr*θ3605(360-θ)=θ1800-5θ=θ6θ=1800θ=18006=300
therefore the area of the sector corresponding to the major arc
=πr2*θ360=227*10.5*10.5*300360=33*10.5*56=288.75 cm2


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HOPE , IT HELPS ... ✌️

Answer 2

Answer: Area of the sector corresponding to the major arc is 288.75 square cm.