Question

If a particle is moving on a circular track of
radius 7m then find the distance travelled
when it completed three-fourth of the circle :-​

Answer 1

Answer:

Hence, the distance covered by particle = 33 m

Explanation:

Given,

Radius of circle = 7 m

Since the Particle will cover 3/4th of the circle, so it will be equal to 3/4th of perimeter of circle = 3/4 × 2πr

So,

Distance covered by particle after covering 3/4th of the circle =

= 3/4 × 2 × 22/7 × 7

= 33 m

Hence, the distance covered by particle = 33 m

Answer 2

Given,

The radius of the circular track = 7 meters

To find,

The distance traveled by the particle moving on the circular track when it completes three-fourth of the circle.

Solution,

We can simply solve this numerical problem by using the following process:

Total distance traveled by the particle moving on the circular track, in one complete round

= Circumference of the circular track

= 2 x π x radius

= 2 x 22/7 x 7 meters

= 44 meters

Now, the total distance traveled by the particle moving on the circular track, in three-fourth of a round = 3/4 x circumference of the circular track

= 3/4 x 44 meters

= 33 meters

Hence, the total distance traveled by the particle moving on the circular track, when it completes three-fourth of the circle, is 33 meters.