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A coin has a diameter of 2.9 cm. If the coin is rolled through 25 complete revolutions, what distance will it travel?

Give your answer correct to one decimal place.

1 Answer

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Answer:

227.75 cm

Explanation:

a coin (Circle) with diameter 2.9cm

(radius) r = diameter ÷ 2

r = 2.9cm ÷ 2

r = 1.45cm

1 complete revolutions (perimeter or circumference of a circle ) = 2πr

= 2 × π × r

where r = radius, π is a constant = 22/7

= 2 × 22/7 × 1.45

= 9.11cm

thus in one complete revolution the coin travels a distance of 9.11cm.

therefore in 25 complete revolutions the coin will travel a distance of = 25 × 9.11 cm = 227.75 cm.

The distance covered in complete 25 revolutions of a coin with diameter of 2.9 when it's rolled is = 227.75 cm

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