Question

There is a circular pond and foot-path runs along its boundary. A man walks around it, exactly once,
keeping close to the edge. If his step is 55 cm long and he takes exactly 400 steps to go round the pond,
what is the diameter of the pond?​

Answer 1

Answer:

Step-by-step explanation:

Answer

Let the radius of the pond be 'r'. since man takes exactly 400 step of 55 cm to go around the pond.

Hence, the circumference of the pond =55×400

=22,000cm

= 22000/100

=220m.

The circumference of the pond is 220m.

circumference of the circular pond =2πr

220=2πr

⇒220=2× (22/7) ×r

⇒r=220× 7/44

⇒r=35m

∴ The Diameter of the pond =2×r

=2×35

=70m.