Question

Find the area of the sector in bold. Round the answer to the nearest 10th.

Answer 1

Step-by-step explanation:

We are given a circle with a major sector and a minor sector.

The major sector has a central angle measuring 315 degrees and a radius of 13km..

We are required to calculate the area of the sector in bold, that is, the MAJOR SECTOR.

First of all, the area of a sector is given by the formula;

`Area=(\theta)/(360)*\pi r^2`

The variables here are;

`\begin{gathered} \theta=central\text{ }angle \\ r=13 \\ \pi=3.14 \end{gathered}`

We can now substitute the given values and calculate as follows;

`Area=(315)/(360)*3.14*13^2`
`Area=(7)/(8)*3.14*169`
`Area=464.3275`

Therefore, we round this to the nearest tenth and we'll have;

ANSWER:

`\begin{gathered} Area\text{ }of\text{ }sector\text{ }in\text{ }bold: \\ A=464.3km^2 \end{gathered}`