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# In the figure above, O is the center of the circle. If the area of tri

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In the figure above, O is the center of the circle. If the area of tri  [#permalink]

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11 Jan 2019, 00:12
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Difficulty:

15% (low)

Question Stats:

92% (00:31) correct 8% (00:51) wrong based on 26 sessions

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In the figure above, O is the center of the circle. If the area of triangle XOY is 25, what is the area of the circle?

A. $$25\pi$$

B. $$25\pi \sqrt{2}$$

C. $$50\pi$$

D. $$50\pi \sqrt{3}$$

E. $$625\pi$$

Attachment:

2019-01-11_1159.png [ 18.15 KiB | Viewed 246 times ]

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In the figure above, O is the center of the circle. If the area of tri  [#permalink]

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Updated on: 13 Jan 2019, 07:20
1
Area of triangle is 1/2*B*H=25
therefore B=H=Sqrt 50

Area of circle = Pi(r)^2== Pi(sqrt 50)^2=pi(5sqrt2)^2= 50pi

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Originally posted by carajatarora on 11 Jan 2019, 00:18.
Last edited by carajatarora on 13 Jan 2019, 07:20, edited 1 time in total.
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Re: In the figure above, O is the center of the circle. If the area of tri  [#permalink]

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11 Jan 2019, 00:22
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carajatarora wrote:
Area of triangle is 1/2*B*H=25
therefore B=H=Sqrt 50

Area of circle = Pi(r)^2== Pi(sqrt 50)^2=pi(5sqrt2)^2= 50pi

Totally nailed it.

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Shantanu Sharma
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Re: In the figure above, O is the center of the circle. If the area of tri  [#permalink]

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11 Jan 2019, 02:12
Bunuel wrote:

In the figure above, O is the center of the circle. If the area of triangle XOY is 25, what is the area of the circle?

A. $$25\pi$$

B. $$25\pi \sqrt{2}$$

C. $$50\pi$$

D. $$50\pi \sqrt{3}$$

E. $$625\pi$$

Attachment:
2019-01-11_1159.png

radius = x^2 = 25*2 = sqrt 50

area of circle
50*pi
imoc
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In the figure above, O is the center of the circle. If the area of tri  [#permalink]

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11 Jan 2019, 03:40
If the area of triangle XOY = 25, 1/2 b * h = 50

in this case b*h will be r^2
Therefore r^2 = 50

Area of circle= pi r^2
Answer C $$50\pi$$
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Re: In the figure above, O is the center of the circle. If the area of tri  [#permalink]

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11 Jan 2019, 11:03
Area of triangle XOY= 0.5*OX*OY
So, 0.5*r*r=25
r^2=50

Area of circle = pi*r^2=pi*50
Re: In the figure above, O is the center of the circle. If the area of tri &nbs [#permalink] 11 Jan 2019, 11:03
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