Question

Find the area of the shaded region.13151DNote: Use either the pi button on your calculator or 3.14 for pi. Round to the nearest tenth.

Answer 1

We are given the following parameters:

radius (r) = 13

The angle subtended by the shaded part at the center = 151 degrees

pi = 3.14

The area (A) of the shaded part can be found using the formula:

`A\text{ = }(\theta)/(360^0)\text{ }*\text{ }\pi\text{ }* r^2`

On substituting the given parameters, we have:

`\begin{gathered} A\text{ = }(151^0)/(360^0)\text{ }*\text{ 3.14 }*13^2 \\ A\text{ = }(80129.66)/(360) \\ A\text{ = 222.582} \\ A\text{ = 222}.6\text{ square unit} \end{gathered}`

Answer: 222.6 square unit