Question

Pls help

Find the area of the shaded region.
80°
5 cm
A = [?] cm2
Enter a decimal rounded to the nearest tenth.

Answer 1

To find the area of the shaded region, subtract the area of the sector (3.49 cm^2) from the area of the triangle (12.5 cm^2). The resulting area of the shaded region is 9.01 cm^2.

Step-by-step explanation:

To find the area of the shaded region, we need to subtract the area of the sector from the area of the triangle. First, let's find the area of the sector. The formula to find the area of a sector is A = (θ/360) * π * r^2, where θ is the central angle and r is the radius. In this case, the central angle is 80° and the radius is 5 cm. Plugging in these values, we have A = (80/360) * 3.14 * (5)^2 = 3.49 cm^2.

Next, let's find the area of the triangle. The formula to find the area of a triangle is A = (1/2) * base * height. In this case, the base is the length of the side opposite to the angle of the sector, which is 5 cm, and the height is the radius, which is also 5 cm. Plugging in these values, we have A = (1/2) * 5 cm * 5 cm = 12.5 cm^2.

Now, we can find the area of the shaded region by subtracting the area of the sector from the area of the triangle. A = 12.5 cm^2 - 3.49 cm^2 = 9.01 cm^2.

Answer 2

It’s been over a year, but I’ll take those points.

Step-by-step explanation:

5.1 cm² is the correct answer.
if you see this somehow it sucks that it was on your final.