In the following figure, the radii of the largest and smallest circles are 20 an

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In the following figure, the radii of the largest and smallest circles are 20 and 5. Find the radius of the intermediate circle.

In The Following Figure, The Radii Of The Largest And Smalle...

Options:

A . 7

B . 10

C . 12.5

D . 15

Answer: Option B
:
B
Solution: The fig can be considered as:

In The Following Figure, The Radii Of The Largest And Smalle...

In The Following Figure, The Radii Of The Largest And Smalle...

Since the triangles are similar:

\frac{r_{1} + r_{2}}{r_{2} + r_{3}} = \frac{r_{1} - r_{2}}{r_{2} - r_{3}}

Substituting r

_{1}

= 20 and r

_{3}

= 5 , r

_{2}

= 10. Option (b).

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