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,

$\begin{gathered} ABC=70^{\circ} \\ BC=25in \end{gathered}$

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:;

$Area=\frac{\theta}{360^{\circ}}\times\pi r^2$

Then,

$\begin{gathered} Area=\frac{\theta}{360^{\operatorname{\circ}}}\times\pi r^2 \\ Area=\frac{70}{360}\times3.14\times25^2 \end{gathered}$

Then,

$\begin{gathered} Area=\frac{70}{360}\times3.14\times25^2 \\ Area=\frac{7}{36}\times3.14\times625^ \\ Area=381.6in^2 \end{gathered}$

Final answer:

Hence, the area is shown below:

$Area=381.6\imaginaryI n^2$