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KCET2008MathematicsCircle

The perimeter of a certain sector of a circle is equal to the length of the arc of the semicircle. Then, the angle at the centre of the sector in radians is

Options

  1. A-2
  2. B+2
  3. C3
  4. D2 3

Correct answer

A. -2

Step-by-step solution

Let the radius of circle be r . Length of an arc = 360^ 2 r Since, perimeter of a sector of a circle array lc & = length of the arc of the semicircle & 360^ 2 r+2 r= r & +2= & = -2 array

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