Question

10. To cover a distance of 100 km a wheel rotates 5000 times. Find the radius of the wheel.
11. The difference between the circumference and the diameter of a circular bangle is 5 cm​

Answer 1

Answer:

1. 2radius

2.15 cm

Explanation:

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Answer 2

Answer:

$\textcolor{pink}{No. of rotations = 5000.}$

Total distance covered = 100 km, and we have to find out the radius of the circle.

Let ‘r’ be the radius of the wheel

Circumference of the wheel = Distance covered in 1 rotation = 2πr.

In 5000 rotations, the distance covered = 100 km

$= 10 \times {10}^{3} \times {10}^{2} cm$

Hence, in 1 rotation, the distance covered

$= \frac{1000000}{5000}cm = 200cm$

But this is equal to the circumference. Hence, 2πr = 200 cm

$r = \frac{200}{2\pi}$

$r = \frac{100}{\pi}$

Taking the approximate value of π as

$\frac{22}{7}$

we get

$r = 100 \times \frac{7}{22}$

$r = 31.82 \: cm \: \: approx$