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

Question

asked Jul 5, 2023 66.8k views

1 Answer

Massif · Answer 1 · 2023-07-11T15:01:26+0000

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,

$\begin{gathered} Area=\frac{\theta}{360^{\operatorname{\circ}}}*\pi r^2 \\ Area=(70)/(360)*3.14*25^2 \end{gathered}$

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:

$Area=381.6\imaginaryI n^2$