Question

Two circles touch externally. The sum of their area is $130\pi$ sq. cm and the distance between their centres is $14$ cm. The radii of the circles are

• A. $11$ cm and $3$ cm
• B. $10$ cm and $2$ cm
• C. $9$ cm and $1$ cm
• D. $8$ cm and $1$ cm

Answer 1

The correct option is A $11$ cm and $3$ cm

As two circle touch externally
$\therefore$ Distance between centre $=r_1+r_2$
In option A, $11+3=14cm$
So, option B, C, D are eliminated.