SOLUTION: If A(3,-2) and B(7,2) are the endpoints of the diameter of a circle, what is the area of a circle?

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Question 644505: If A(3,-2) and B(7,2) are the endpoints of the diameter of a circle, what is the area of a circle?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
use formula for distance between two points to find the diameter of a circle
If A(3,-2) and B(7,2), then the diameter of a circle is:
Solved by pluggable solver: Distance between two points in two dimensions
The distance (denoted by d) between two points in two dimensions is given by the following formula:

d=sqrt%28%28x1-x2%29%5E2+%2B+%28y1-y2%29%5E2%29

Thus in our case, the required distance is
d=sqrt%28%283-7%29%5E2+%2B+%28-2-2%29%5E2%29=+5.65685424949238+


For more on this concept, refer to Distance formula.


the area of a circle is A=r%5E2pi..........since diameter is approximately d=5.65685424949238, then
A=%285.65685424949238%29%5E2pi
A=31.9999999999999977914876780644%2Api...round
A=32%2Api