Find the number of revolutions made by a circular wheel of area 1.54 m² in rolling a distance of 176 m

Solution:

Given, area of circular wheel = 1.54 m²

Total distance covered by the wheel = 176 m

We have to find the number of revolutions made by a circular wheel.

Area of circle = πr²

1.54 = (22/7)r²

r² = 1.54(7)/22

r² = 0.07(7)

r² = 0.49

Taking square root,

r = 0.7 m

Circumference of the circle = 2πr

Circumference of the wheel = 2(22/7)(0.7)

= 44(0.1)

= 4.4 m

Number of revolutions = total distance / circumference

= 176/4.4

= 40

Therefore, the total number of revolutions made by the wheel is 40.

✦ Try This: Find the number of revolutions made by a circular wheel of area 1.10 m² in rolling a distance of 190 m.

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 12

NCERT Exemplar Class 10 Maths Exercise 11.4 Problem 18

Find the number of revolutions made by a circular wheel of area 1.54 m² in rolling a distance of 176 m

Summary:

The number of revolutions made by a circular wheel of area 1.54 m² in rolling a distance of 176 m is 40

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