Question

Find the area of the base of a drum if it needs 88 m long rope to tie twice it around.

solve with full solutions!​

Answer 1

`154 $\ m^2`

Explanation:

If 88 m of long rope is wrapped twice around the base of the drum, the circumference of the drum is 44m. We can use this information to find the radius of the base.

Find the Radius

The equation for circumference is
`C=2\pi r`. We can substitute the value we found for circumference into the equation:

`44=2\pi r`

Divide both sides by 2

`22=\pi r`

Divide both sides by π

`r=(22)/(\pi)`

Use the Radius to find the Area

The area of a circle is
`A=\pi r^2`. We can substitute the value we found for the radius into the equation:

`A=\pi ((22)/(\pi))^2\\`

`A=\pi ((22)/(\pi))((22)/(\pi))`

`A=22*(22)/(\pi)`

`A=(484)/(\pi)`

`A\approx154`