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KCET2007MathematicsStraight Lines

A B C is a triangle with A=30^ , B C=10 ~cm . The area of the circumcircle of the triangle is

Options

  1. A100 sq cm
  2. B5 sq cm
  3. C25 sq cm
  4. D100 3 sq cm

Correct answer

A. 100 sq cm

Step-by-step solution

In A B C, A=30^ B C=10 ~cm O is the centre of circle. aligned & B O C=60^ and O B and O C are the radius & O B C= O C B=60^ & O B C is an equilateral triangle. & Radius of circle is O B=O C=B C=10 ~cm & Now, area of the circumcircle is r² & = (10)²=100 sq cm aligned

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