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Miscellaneous·2017·Easy

Segment QR of length r is a tangent at Q to a circle of radius r with centre at P. What is the area of the part of the triangle PQR, which is outside the circular region ?

Segment QR of length r is a tangent at Q to a circle of radius r with centre at P. What is the area of the part of the triangle PQR, which is outside the circular region ?

Options

  1. a.

    πr²/16

  2. b.

    r²/2 – πr²/8

  3. c.

    r²/2 – πr²/16

    Correct answer
  4. d.

    r²/4 – πr²/8

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