Question

A wheel covers 44 km in 2000 revolutions. Find its radius.

Answer 1

Answer:

1.75 m

Step-by-step explanation:

44 km = 44000 m

revolution = 2000

one revolution = 44000/2000 = 11 m

perimeter of circle = 11 m

2 * Π * r = 11

or, r =

$\frac{11}{2} \times \frac{7}{22} = \frac{7}{4} = 1.75$

Answer 2

Answer:

35m

Step-by-step explanation:

1st way

wheel covers 44 km in 2000 revolutions

so wheel covers distance in 1 revolution(or circumference) = 44/2000 = 22/1000 = 11/500 km

circumference = 2 pi r = 11/500

2 * 22/7 * r = 11/500

r= 11/500 * 7/44 = 77/22000km = (77/22000* 1000)m = 3.5 m

2nd way

44 km = 44000 m

revolution = 2000

one revolution = 44000/2000 = 22 m

circumference of circle = 22 m

2 * Π * r = 22

2 * 22/7 * r = 22

r = 22  * 7/22 * 2  = 3.5m

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