# 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

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

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

RÐ¤ = 4xR

2 π radians = 360 degrees

Ð¤ = 4 radians = 4x360/2π  = 229.29 degrees.

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

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