Question

Find the area of a sector with an arc length of 60cm and a radius of 15cm.

Answer 1

Answer: 75
`\pi`/2 or
`117.81`

Explanation:

-To find the area of a sector, you need the equation:

`(Arc)/(360) \pi r^2`

-Set the measurements onto the equation:

`(60)/(360)` ×
`\pi (15)^2`

-Then, you solve:

`(60)/(360)` ×
`\pi (15)^2`

`(1)/(6)` ×
`\pi (15)^2`

`(1)/(6)` ×
`225=(75)/(2)`

`\pi` ×
`(75)/(2) = (75\pi )/(2)`

-Result:

`(75\pi )/(2)` or
`117.81`