Question

What is the area of the shaded sector if the measure of angle ABC = 70?

Answer 1

Given:

There are given the circle.

Where,

`\begin{gathered} ABC=70^(\circ) \\ BC=25in \end{gathered}`

Step-by-step explanation:

According to the question;

We need to find the area of the shaded section:

To find the area, we will use their properties.

So,

From the properties:;

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

Then,

Then,

`\begin{gathered} Area=(70)/(360)*3.14*25^2 \\ Area=(7)/(36)*3.14*625^ \\ Area=381.6in^2 \end{gathered}`

Final answer:

Hence, the area is shown below:

`Area=381.6\imaginaryI n^2`