Question

To cover a distance of 10 km, a wheel rotates 5000 times. find the radius of the wheel.

a) 28 cm
b) 47 cm
c) 31.28 cm
d) 37.14 cm

Answer 1

The radius of the wheel is approximately 31.28 cm (option c).

Step-by-step explanation:

To find the radius of the wheel, we can use the formula for circumference:

Circumference = 2πr

We know that the wheel rotates 5000 times to cover a distance of 10 km.

This means that the circumference of the wheel is equal to 10 km.

So we can set up an equation:

10 km = 5000 * 2π * r

Simplifying, we have:

r = (10 km) / (5000 * 2π)

After evaluating, we find that the radius of the wheel is approximately 31.28 cm.