Answer:

Step-by-step explanation:
<h3>
Answer:</h3>
818.4 in²
<h3>
Step-by-step explanation:</h3>
The area of a circular sector is given by ...
... A = (1/2)r²·θ . . . . . θ in radians
The area of the isosceles triangle with apex angle 150° is given by ...
... A = (1/2)r²·sin(θ)
Then the area of the shaded segment is ...
... A = (1/2)r²·(θ - sin(θ))
... A = (1/2)·(27.8 in)²(5π/6 -sin(5π/6)) ≈ 818.4 in²
_____
If you (erroneously) use 3.14 for π, you get 817.9 in². Some answer keys expect you to use that value, even though it does not have sufficient accuracy for this problem.
<h2>
Hello!</h2>
The answer is:
The equation of the given circle is:

<h2>
Why?</h2>
The equation of a circle is given by the following equation:

We are given the center point (4,-5) and the radius.
So,
Where:

Then, substituting into the circle equation, we have:


Hence, the simplified equation of the circle is:

Have a nice day!
Answer:
Distributive Property
Step-by-step explanation: