Question

Please help asap‼️‼️‼️What is the area of the shaded segment shown in 00 be-

low? Round your answer to the nearest tenth.
M
12 in.
0
30°
P
12 in.
N

Answer 1

Answer:1.7

Explanation:

First we need to start by finding the area of the sector.

Area of a sector is area of circle divided by (center angle/360) * total area. A = total area. B = radius. D = section area. G = center angle

`a\ =\ \pi\cdot b^(2)`

`b=12`

`g\ =\ 30`

`d\ =\ a\cdot\left((g)/(360)\right)`

Now that we have the area of the given sector, we need to find the area of the triangle shown in the sector.

We can use this formula to find the area of the triangle given one angle and two side lengths:

`12\cdot12(\sin30)/(2)`

Both 12's being the side lengths given, and sin containing the 30, which is the degree that is given to us of the triangle.

Now that we have the triangle area and the sector area, we can solve for the area of the shaded region, which is the sector area minus the triangle area.

Sector area = 37.6991118431

Triangle area = 36

The area of the shaded region is equal to 1.69911184308.

The tenth's place of the decimal is 1.69911184308, and since it is followed by a 9, we can round it up to 1.7.

This means your answer is equal to 1.7