Question

The radii of two circles are 19 cm and 9 cm respectively. Find the radius and area of the circle which has its circumference equal to the sum of the circumferences of the two circles.

Answer 1

Let the radius of the circle be r cm. Then,

$2\pi r=2\pi \times 19+2\pi \times 9$

$\Rightarrow r=28cm$

$\therefore$ Area of the circle $=\pi r^2=\frac{22}{7}\times 28\times 28=2464c{m}^2$