Question

PLS HELP ASAP a wheel makes 13 revolutions to cover a distance of 65 m find the radius of the wheel

Answer 1

• Revolutions=13
• Distance=65m

Circumference:-

• 65/13
• 5m

Radius:-

• 2πr=5
• πr=2.5
• r=2.5/π
• r=0.797m

Answer 2

radius = 0.8 m (nearest tenth)

Explanation:

One revolution of the wheel means one complete turn. Therefore, the distance of one revolution is the circumference of the wheel.

First, find the distance of one revolution (the circumference) by dividing the total distance by the given number of revolutions:

`\sf circumference=(65)/(13)=5\:m`

Formula

`\textsf{circumference of a circle}=\sf 2 \pi r \quad \textsf{(where r is the radius)}`

`\implies \sf radius=(circumference)/(2 \pi)`

Substituting the found value of the circumference into the formula to find the radius:

`\implies \sf radius=(5)/(2 \pi)=0.8\:m\:(nearest\:tenth)`