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