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 ?
Triangle of each side 6.6 cm. It is meant
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Answer:
70 m
Step-by-step explanation:
Let the rad ius of the pond be 'r'. sinc e man takes ex actly 400 step of 55 cm to go around the pond.
.Hence, the circumfe rence of the pond =55×400
rence of the pond =55×400=22,000cm
.circumfe rence of the pon d is 220m.
d is 220m.circumf erence of the circul ar po nd =2πr
nd =2πr220=2πr
nd =2πr220=2πr⇒220=2× 722 ×r⇒r=220× 44
nd =2πr220=2πr⇒220=2× 722 ×r⇒r=220× 447
∴ Diam eter of the po nd =2×r
nd =2×r=2×35
nd =2×r=2×35=70m.
• Hope it helps •
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