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# In the xy-plane, the center of circle C is at point (0,0). If the poin

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Math Expert
Joined: 02 Sep 2009
Posts: 58402
In the xy-plane, the center of circle C is at point (0,0). If the poin  [#permalink]

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17 Jan 2019, 03:04
00:00

Difficulty:

15% (low)

Question Stats:

74% (00:57) correct 26% (00:42) wrong based on 72 sessions

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In the xy-plane, the center of circle C is at point (0,0). If the point (−5,5) is on the circumference of the circle, what is the radius of the circle?

A 5

B 10

C 7.5

D 5√2

E 10√2

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Re: In the xy-plane, the center of circle C is at point (0,0). If the poin  [#permalink]

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17 Jan 2019, 07:34
1
Bunuel wrote:
In the xy-plane, the center of circle C is at point (0,0). If the point (−5,5) is on the circumference of the circle, what is the radius of the circle?

A 5

B 10

C 7.5

D 5√2

E 10√2

use distance formula and determine distance between 0,0 and -5,5
5 sqrt 2
IMO D
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Joined: 09 Mar 2018
Posts: 995
Location: India
In the xy-plane, the center of circle C is at point (0,0). If the poin  [#permalink]

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17 Jan 2019, 10:11
Bunuel wrote:
In the xy-plane, the center of circle C is at point (0,0). If the point (−5,5) is on the circumference of the circle, what is the radius of the circle?

A 5

B 10

C 7.5

D 5√2

E 10√2

These sort of questions are best done when you visualize them

IMO D

The point is present in 2nd Quadrant, which will make a 45-45-90 triangle
with two sides = 5 and hypotenuse will be the radius = 5√2
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Joined: 26 May 2019
Posts: 7
Re: In the xy-plane, the center of circle C is at point (0,0). If the poin  [#permalink]

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14 Jun 2019, 00:24
x^2 + y^2 = r^2 - is the formula when the centre of a circle is origion.

Therefore, (-5)^2 + (5)^2 = r^2
50 = 5sqrt2 = r^2
Re: In the xy-plane, the center of circle C is at point (0,0). If the poin   [#permalink] 14 Jun 2019, 00:24
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