Math, asked by tauua, 1 year ago

find the area of a sector of a circle which su tends an angle of 150 degrees at the centre and whose arc length is 10pie

Answers

Answered by sachin526
2
Area of sector = (150/360)* πr^2

Angle = arc/radius
Radius = 10π * 180 / 150π = 180/15 = 36/3 = 12
Area of sector = 15/36 * π *12*12 = 60π

tauua: how you calculated the radius
sachin526: radius = arc / angle
sachin526: arc 10π
sachin526: angle 150π/180
tauua: why u did radius =10pie *180/150pie
sachin526: 10π / 150π/180
sachin526: = 10π * 180 / 150π
tauua: no i didn't understood if radius =arc/angle.,so we should write 10pie/150degree.why we multiplied it by 180
sachin526: we multiply 150 with π/ 180 to convert it in terms of π so it cancels the other one
tauua: thank you so much
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