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The perimeter of a certain sector of a circle is equal to half circumference if circle. Express the angle of the sector

The perimeter of a certain sector of a circle is equal to half circumference if circle. Express the angle of the sector

Grade:11

1 Answers

Nikitha
23 Points
3 years ago
Let -radius of circle be r -Angle of sector be x -Angle subtend s on the circumferencePerimeter of the sector will be equal to s+2rHalf of circumference is equal to 2πr/2=πr S+2r=πr (given)Rx+2r=πr ( as s=Rx)We get x=π-2 as the relation

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