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During the greatest ten-year change in non-minority scholarship funds

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During the greatest ten-year change in non-minority scholarship funds  [#permalink]

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New post 14 Apr 2019, 02:50
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A
B
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D
E

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  5% (low)

Question Stats:

100% (01:10) correct 0% (00:00) wrong based on 34 sessions

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On the xy-coordinate plane, points R (7, –3) and S (7, 7) are the endpoints of the longest possible chord of a certain circle. What is the area of the circle?

(A) 7π
(B) 16π
(C) 20π
(D) 25π
(E) 49π
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Re: During the greatest ten-year change in non-minority scholarship funds  [#permalink]

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New post 14 Apr 2019, 03:08
Rubina11 wrote:
On the xy-coordinate plane, points R (7, –3) and S (7, 7) are the endpoints of the longest possible chord of a certain circle. What is the area of the circle?

(A) 7π
(B) 16π
(C) 20π
(D) 25π
(E) 49π



Concept
- The longest chord of the certain circle is the diameter of the circle.

Formula used: Distance = \(\sqrt{(x1-x2)^2 + (y1-y2)^2}\)

The distace between the points R and S is \(\sqrt{(7-7)^2 + (-3-7)^2} = \sqrt{100} = 10\)

Therefore, the area of the circle with diameter 10 is \(\pi*(\frac{10}{2})^2 = 25\pi\) (Option D)
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Re: During the greatest ten-year change in non-minority scholarship funds   [#permalink] 14 Apr 2019, 03:08
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