Question

The ratio of the area of the inscribed circle to the area of the circumscribed circle of an equilateral triangle is____

Options :

  1. 1/8

  2. 1/6

  3. 1/4

  4. 1/2

Show Answer

Answer :

1/4

Solution :

ΔOAB,  S i n 30 = r R

R = 2r

The ratio of the area of the inscribed circle to the area of the circumscribed circle

= π r 2 π R 2

= π r 2 π ( 2 r ) 2

= 1/4

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