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COMEDK2020MathematicsProperties of Triangles

A B C is a triangle with A=30^ and B C=10 ~cm . The area of the circum circle of the triangle is

Options

  1. A5 sq cm
  2. B100 sq cm
  3. C100 3 sq cm
  4. D25 sq cm

Correct answer

B. 100 sq cm

Step-by-step solution

Z =-1-i We know that, B O C=2 B A C=2 30^ =60^ Since, O B=O C O B C= O C B= 1 2 (180^ - B O C )=60^ So, B O C is an equilateral triangle. aligned O B=B C=10 ~cm Therefore, area of circumcircle &= (O B)²= (10)² &=100 sq cm aligned

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