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In the rectangular coordinate system, the point (3,1) is on

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In the rectangular coordinate system, the point (3,1) is on [#permalink] New post 05 Dec 2017, 13:04
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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. \(\pi \sqrt{7}\)
[Reveal] Spoiler: OA

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Re: In the rectangular coordinate system, the point (3,1) is on [#permalink] New post 06 Dec 2017, 08:37
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. \(\pi \sqrt{7}\)

[Reveal] Spoiler: OA
OA in 24h


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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Re: In the rectangular coordinate system, the point (3,1) is on   [#permalink] 06 Dec 2017, 08:37
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In the rectangular coordinate system, the point (3,1) is on

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