SOLUTION: Find the area of a circle whose center is at the origin that passes through the point (7,0). (Round to the nearest hundredth ) The answer is 153.93 can you help me by showing the

Algebra ->  Circles -> SOLUTION: Find the area of a circle whose center is at the origin that passes through the point (7,0). (Round to the nearest hundredth ) The answer is 153.93 can you help me by showing the       Log On


   

Question 1071300: Find the area of a circle whose center is at the origin that passes through the point (7,0). (Round to the nearest hundredth )
The answer is 153.93 can you help me by showing the work
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
So the general equation of a circle with center (h,k) is,
%28x-h%29%5E2%2B%28y-k%29%5E2=R%5E2
In this case, h=k=0
x%5E2%2By%5E2=R%5E2
Using the point,
7%5E2%2B0%5E2=R%5E2
R=7
So then the area is,
A=pi%2AR%5E2
A=pi%2A49
A=49pi