Question

Three circles are mutually tangent externally. Their centres form a triangle whose sides are of length $3,4$ and $5$. The total area of the three circles (in square units), is -

• A. $9$ $\pi$
• B. $16$ $\pi$
• C. $21$ $\pi$
• D. $14$ $\pi$

Answer 1

The correct option is D $14$ $\pi$

SO by drawing figure we found that radii of the circles are,

$r_1 = 1, r_2 = 2, r_3 = 3$

hence sum of areas is $14\pi$