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:

$\text{Area = }\frac{\Theta}{360^{\circ}}\pi r^2$

We get,

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

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