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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]  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]  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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