Question

The radii of two circles are 10 cm and 24 cm. The radius of a circle whose area is the sum of the area of these two circles is

• A. $$2\sqrt{30}m$$
• B. $$\sqrt{13}m$$
• C. 13 m
• D. $$8\sqrt{15}m$$

Answer 1

Answer:

$$2\sqrt{30}m$$

Area of the rectangular garden = 12 × 5 = 60 m²= Area of the square garden

Side of the square garden $=\sqrt{60}m^2$

Diagonal of the square garden $=\sqrt{2}\times{side}$

$=\sqrt{2}\times{\sqrt{60}}$

$=\sqrt{120}=\sqrt{4\times{30}}$

$=2\sqrt{30}m$