CircleHard
Question
Inside the unit circle S = {(x, y)| x2 + y2 = 1} there are three smaller circles of equal radius a, tangent to each other and to S. The value of ′a′ equals -
Options
A.√2(√2 - 1)
B.√3(2 - √3)
C.√2(2 - √3)
D.√3(√3 - 1)
Solution
We have cos 30o
⇒
⇒ 2a = √3 - √3 ⇒ (2 + √3a = √3
a =
= √3(2 - √3)
⇒
⇒ 2a = √3 - √3 ⇒ (2 + √3a = √3
a =
= √3(2 - √3)Create a free account to view solution
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