Question

If an object travels on a circular track of diameter 42 m and cover 2.5 round. Find distance

Answer 1

Working out:

In the above question, we need to find the total distance covered around the circular path by an object.

GiveN:

• Diameter of circular track = 42 m
• No. of rounds = 2.5

We have to find the distance covered by the circle.

So, we know that around a circle, in one revolution the object is covering the circumference of the track.

• $\sf{Circumference = 2\pi r}$

So, in 2.5 rounds of the circular track, the total distance covered by the object will be:

$\sf{ = 2\pi r \times 2.5}$

$\sf{ = 5\pi r}$

Plug in the values to get the required answer,

• Radius = 42 cm / 2 = 21 m

⇛ Distance covered = 5πr

⇛ Distance covered = 5 × 22/7 × 21 m

⇛ Distance covered = 5 × 22 × 3 m

⇛ Distance covered = 330 m

Hence, the distance travelled by the object in 2.5 rounds around the circular track:

$\huge{ \boxed{ \red{ \sf{330 \: m}}}}$

And we are done !!