Answer:
Step-by-step explanation:
corresponds with 
Answer:

Step-by-step explanation:
Given


Midpoint, T
Required
Determine PT
First, the value of x has to be calculated;
Since T is the midpoint, then:

This implies

Solve for x




Length PQ can then be calculated using:


Collect Like Terms


Substitute 6 for x



Answer:
48π or 150.72
Step-by-step explanation:
The radius of the big circle is 8.
We can use that to find the area of the big circle.
Area is πr^2
π(8)^2
64π
Now, we can find the area of the small circle.
The diameter of that is 8, meaning the radius is 4.
πr^2
π(4)^2
16π
Now we subtract the area of the small circle from the area of the big circle to get the area of the shaded region.
64π-16π=48π
As a decimal: 48*3.14=150.72