Question

Find area of sector GHJ. Round to the nearest hundredth.

Answer 1

Given:

a.) GH = 5 units (radius)

b.) m∠GHJ = 60°

For us to be able to determine the area of the given sector GHJ, we will be using the following formula:

`\text{Area = }(\Theta)/(360^(\circ))\pi r^2`

We get,

`\text{Area = }(\Theta)/(360^(\circ))\pi r^2`
`=\text{ (}(60)/(360))(3.14)(5)^2`
`=\text{ (}(1)/(6))(3.14)(25)`
`\text{Area = }(78.5)/(6)\text{ = 1}3.083333333333333333333333333333`
`\text{ Area }\approx\text{ 13.08 sq. units}`

Therefore, the area of the sector GHJ is 13.08 sq. units.