Question

find two radius of a circle whose area of equal to the sum of the area of two circle of radii 24cm and 7cm
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Answer 1

Step-by-step explanation:

The radius of the circle is 7cm and 24 cm .

Area of smaller circle is

$\pi {r}^{2}$

$= \pi \times 7$

$= 49\pi$

Area of larger circle is

$\pi {r}^{2}$

$=\pi \times {24}^{2}$

$= 576\pi$

Area of required circle

$= 576\pi + 49\pi$

$= 625\pi$

Radius of circle is given by

$\sqrt{625} = 25$