SOLUTION: if A(a,0) and B(a,2b) are the endpoints diameter AB, represent the area of the circle in terms of b.

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Question 313527: if A(a,0) and B(a,2b) are the endpoints diameter AB, represent the area of the circle in terms of b.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The distance from A to B would be the diameter.
Use the distance formula,
+D%5E2=%28x2-x1%29%5E2%2B%28y2-y1%29%5E2
D%5E2=%28a-a%29%5E2%2B%282b-0%29%5E2
D=2b
Then the area of a circle in terms of the diameter, D, is,
A=%28pi%2F4%29%2AD%5E2
A=%28pi%2F4%29%2A%282b%29%5E2
A=%28pi%2F4%29%2A4b%5E2
A=pi%2Ab%5E2