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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, 01:12
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15% (low)

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96% (00:58) correct 4% (01:43) wrong based on 35 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 575 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: 23 Jan 2019, 00:28
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

Originally posted by carajatarora on 11 Jan 2019, 01:18.
Last edited by Bunuel on 23 Jan 2019, 00:28, edited 2 times 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, 03:12
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, 04:40
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, 12:03
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   [#permalink] 11 Jan 2019, 12:03
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