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Home / Questions / Q 2594
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In the given figure, ABC is a right angled triangle. and . If the radi

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| In the given figure, ABC is a right angled triangle. and . If the radius of the smaller circle is 2 cm, then what is the radius (in cm) of the larger circle?

A. 4

B. 6

C. 4.5

D. 7.5

Right Answer is: B

SOLUTION


Δ COP ≅ Δ COM
So ∠ OCP = ∠ OCM = 30o


Let the radius of bigger circle be R = O’N
Similarly
CO’ = 2 O’N = 2R
OO’ = 2+R
CO’ = CO + OO’
2R = 4 + 2 + R
R = 6 cm.

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    1. In the given figure, ABC is a right angled triangle. and . If the radi

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