Question

Find the area of the shaded region. Round your answer to the nearest hundredth.

Answer 1

Answer:

1.44 units²

Step-by-step explanation:

The angle for the big triangle is 60°, so the smaller triangle is 30°

so to find the base of the small triangle you can do tan 30 = X/2$\sqrt{3}$

so x is 2, which means that the base of the big triangle is 4.

The area of the big triangle is 1/2bh = 1/2(4)(2$\sqrt{3}$) = 4$\sqrt{3}$ = 6.93

Find hypotenuse (radius) using Pythagorean Theorem r = 4

The area of the piece of pie is $\pi r^{2} *60/360$ = 8.37

8.37 - 6.93 = 1.44