# 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 = 30^{o}

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