Question
The ratio of the area of the inscribed circle to the area of the circumscribed circle of an equilateral triangle is____
Options :
1/8
1/6
1/4
1/2
Answer :
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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