Question

a cyclist travels 3/4 of a circular track from A to B. the radius of circular track is 400m.what is the distance travelled by the cyclist

Answer 1

circumference = $2\pi r$

circumference of a 3/4 circle

                                   = 3/4 x $2\pi r$

                                   = 3/4 x 2 x 22/7 x 400

                                   = 1885.71 m

Answer 2

Concept:

The total distance of a circular task is calculated by the circumference of a circle, 2πr.

Given:

The radius of the circular track is 400m.

A cyclist travels 3/4 of a circular track from A to B.

Find:

We need to determine the distance travelled by the cyclist.

Solution:

Distance is an object's overall movement, regardless of direction.

The distance from A to B is around 400m.

It has been given to us that the distance covered by a cyclist is 3/4

Total distance = Circumference of a circle

Total distance, d = 2πr

d = 2 × 22/7 × 400

Total distance, d = 2514.28 m

We know that the distance covered by the cyclist = 3/4 = 75% = 75/100 × 2514.28

distance = 1885.71 m

Thus, the distance travelled by the cyclist is 1885.71 m.

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