Question

There is a circular pond and footpath runs along its boundary. A man walks around it exactly once, keeping close to the edge. If his step is 44cm long and takes exactly 600 steps to go around the pond, what is the radius of the pond​

Answer 1

$\bf{\Huge{\underline{\boxed{\bf{\blue{ANSWER\::}}}}}}$

$\bf{\Large{\underline{\bf{Given\::}}}}}}$

There is a circular pond and footpath runs along its boundary. A man walks around it exactly once, keeping close to the edge. If his step is 44cm long and takes exactly 600 steps to go around the pond.

$\bf{\Large{\underline{\bf{To\:find\::}}}}}}$

The radius of the pond.

$\bf{\Huge{\underline{\boxed{\sf{\blue{Explanation\::}}}}}}$

We know that circumference of circle: πd

A/q

→ A distance travelled by man = (44 × 600)cm

→ A distance travelled by man = 26400cm.

Now,

⇒ Circumference of the pond = πd

⇒ πd = 26400cm

⇒ $\bf{\frac{22}{7} *d=26400}$

⇒ $\bf{d=\frac{\cancel{26400}*7}{\cancel{22}} }$

⇒ d = (1200 × 7)cm

⇒ d = 8400cm.

$\bf{\large{\underline{\bf{\green{The\:radius\:of\:the\:pond\::}}}}}$

We know that radius = $\bf{\frac{Diameter}{2} }$

→ The radius of the pond = $\bf{\cancel{\frac{8400}{2} }}$

→ The radius of the pond = 4200cm.

Answer 2

Explanation:

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