Question

Raju covers a distance of $40\pi$ meters in a circular shaped track. What is the area enclosed by the track (in $m^2)$?

• A. 200$\pi$
• B. 100$\pi$
• C. 300$\pi$
• D. 400$\pi$

Answer 1

The correct option is D

400$\pi$

Raju covers a distance of $40\pi$ meters in a circular shape track.

Distance covered by him will be the circumference of the track.

Circumference of a circle = $2\pi r$

$2\pi r=40\pi$

2r = 40

Radius of the track, r = 20 meters.

Now, we will find the area enclosed by track,

Area of the circle = $\pi r^2$, where r is the radius of the circle.

Hence, area enclosed by the track = $\pi (20{)}^2=400\pi m^2$