Question

The radius of larger circle is 2.5 times more than the radius of the smaller circle. Find the area of shaded region.(FIGURE-3)

Answer 1

Answer:

6.25 times

Step-by-step explanation:

Let circumference of a larger circle (radius r₁ and area A₁) is 2.5 times that of a smaller circle (radius r₂ and area A₂)

2πr₁ = 2.5 (2πr₂)

r₁=2.5 r₂

squaring both sides,

r₁²=6.25 r₂²

Multiplying by π both sides,

πr₁²=6.25 π r₂²

A₁ = 6.25 A₂

Ans: Area of larger circle = 6.25 times area of smaller circle.