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NTA Abhyas JEE Main2020MathematicsCirclePractice

A B C is a right triangle, right-angled at the vertex A . A circle is drawn to touch the sides A B and A C at points P and Q respectively such that the other end points of the diameters passing through P and Q lie on the side B C . If A B = 6 units, then the area (in sq. units) of the circular sector which lies inside the triangle is

Options

  1. A3 π + 2
  2. Bπ + 3
  3. Cπ - 2
  4. Dπ + 2

Correct answer

A. 3 π + 2

Step-by-step solution

A B = 3 r = 6 ⇒ r = 2 Shaded area = 1 4 π 2 2 - 1 2 2.2 = π - 2 Required area = 4 π - ( π - 2 ) = 3 π + 2 sq. units

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