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

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Math Expert
Joined: 02 Sep 2009
Posts: 50627
In the rectangular coordinate system, the point (3,1) is on the circle  [#permalink]

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11 Jul 2018, 23:46
00:00

Difficulty:

25% (medium)

Question Stats:

79% (01:03) correct 21% (01:54) wrong based on 19 sessions

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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. $$\pi \sqrt{7}$$

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Re: In the rectangular coordinate system, the point (3,1) is on the circle  [#permalink]

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12 Jul 2018, 00:29
(3,1) is on the circle with center (0,-3)

Radius = distance from center to the point
(0-3)^2 + (-3-1)^2 = r^2
9 + 16 = r^2
r = 5

Now, Area = πr^2 = 25π

Hence, D.
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Re: In the rectangular coordinate system, the point (3,1) is on the circle  [#permalink]

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12 Jul 2018, 00:51
OA: D

Quote:
the point (3,1) is on the circle with center (0,-3)

$$r=\sqrt{[3-0]^2+[1-(-3)]^2} = \sqrt{9+16} =5$$

$$Area = \pi *r^2 = \pi *5^2 =25\pi$$
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Re: In the rectangular coordinate system, the point (3,1) is on the circle &nbs [#permalink] 12 Jul 2018, 00:51
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