Answered

Find the approximate area of the sector shown. Answer to the nearest hundredth of a square inch. Use your calculator value of .5 in.5 in.80°A circle contains two line segments, an unlabeled point, two lengths, an angle, and a shaded region.The first segment starts at the center point of the circle, goes up and ends at the top of the circle. It is labeled 5 inches.The second segment starts at the center point of the circle, goes up and right and ends slightly above the center right of the circle. It is labeled 5 inches.The angle at the center point of the circle to the right of the first segment and above the second segment is labeled 80°.The area to the right of the first segment and above the second segment in the interior of the circle is shaded. in2

Find the approximate area of the sector shown Answer to the nearest hundredth of a square inch Use your calculator value of 5 in5 in80A circle contains two line class=


Answer :

ANSWER :

17.45 in^2

EXPLANATION :

Recall the area formula of a segment :

[tex]A=\pi r^2\times\frac{\theta}{360}[/tex]

where r = radius and θ = central angle.

From the problem, the radius is 5 inches and the central angle is 80 degrees.

Using the formula above :

[tex]\begin{gathered} A=\pi(5)^2\times\frac{80}{360} \\ A=17.45in^2 \end{gathered}[/tex]

Other Questions