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  • The perimeter of a sector of a circle is 4 times the radius of the circle. Find the angle of the sector in radians and degrees

The perimeter of a sector of a circle is 4 times the radius of the circle. Find the angle of the sector in radians and degrees

Answers (1)

Assume the radius of the circle is r and angle of the sector Ð¤.

Perimeter of a sector of the circle = R.Ф 
According to the question

RФ = 4xR 

Ф = 4 radians.  
2 π radians = 360 degrees 

Ф = 4 radians = 4x360/2π  = 229.29 degrees.

Hence the angle of the sector is 4 radians or 22.29 degrees.

Posted by

Ravindra Pindel

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