Carcass wrote:
In the rectangular coordinate system, the point (3,1) is on the circle with center (0,-3). What is the area of the circle?
A.\(5\pi\)
B. \(7\pi\)
C. \(10\pi\)
D. \(25\pi\)
E. \(\pi \sqrt{7}\)
Here since the point (3,1) lies on the circle with the centre (0, -3)
and we know the distance from any point on the circle to the centre is the radius of the circle.
Therefore the distance from the points (3,1) and (0, -3) is = \(\sqrt{(3^2 + 4^2)}\) = 5
Therefore Area = \(pi * r^2\) = \(pi * 5^2\) = 25pi
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