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
• B. 100
• C. 300
• D. 400

Answer 1

The correct option is D

400

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 = $2\pi r$

$2\pi r=40\pi m$

$2r=40m$

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 $=\pi (20{)}^2=400\pi m^2$