Question

There is a circular pond and a footpath runs along its boundary.

A person walks around it, exactly once keeping close to the edge. If

his step is 66 cm long and he takes exactly 400 steps to go around

the pond, find the diameter of the pond​

Answer 1

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

=

100

22000

=220m.

circumference of the pond is 220m.

circumference of the circular pond =2πr

220=2πr

⇒220=2×

7

22

×r

⇒r=220×

44

7

⇒r=35m

∴ Diameter of the pond =2×r

=2×35

=70m.

please make me brainlist and subscribe Indian mega squad on YouTube

Answer 2

$\huge \purple A \purple N \purple s \purple W \purple e \purple \R :-$

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

= 22,000 cm

= 22,000 / 100

= 220 m

Circumference of the pond is 220 m

circumference of the circular pond =2πr

220 = 2πr

=> 220 = 2 × 22/7 × r

=> r = 220 × 7 / 44

=> r = 35 m

∴ Diameter of the pond

=2×r

=2×35

=70m.