The ratio of the outer and the inner circumference of a circular path is 5 ∶ 4. If path is 50 metres wide, then what is the radius of the inner circle?

Question

Question

This question was previously asked in

SSC CGL 2022 Tier-I Official Paper (Held On : 06 Dec 2022 Shift 3)

Answer 1

Given:

The ratio of the outer and the inner circumference of a circular path is 5 ∶ 4.

Concept used:

Circumference of circle = 2πr

Here r = radius

Calculation:

F1 SSC Arbaz 19-06-2023 Himanshu D1

Let the radius of the inner and outer circumference is r and R

According to the question,

\(\frac{2π R}{2π r} = \frac{5}{4}\)

⇒ \(\frac{2π (r+50)}{2πr} = \frac{5}{4}\)

⇒ \(\frac{r+50}{ (r )} = \frac{5}{4}\)

⇒ 5r = 4r + 200

⇒ r = 200

So, inner radius = 200 m

∴ The radius of the inner circle is 200 meters.