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# What is the perimeter of the triangle shown inside a circle with cente

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Math Expert
Joined: 02 Sep 2009
Posts: 58464
What is the perimeter of the triangle shown inside a circle with cente  [#permalink]

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02 Sep 2018, 23:38
00:00

Difficulty:

25% (medium)

Question Stats:

83% (01:45) correct 17% (02:17) wrong based on 27 sessions

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What is the perimeter of the triangle shown inside a circle with center O, if the area of the circle is 70π?

A. $$\sqrt{140} + \sqrt{70}$$

B. $$(2 + \sqrt{2})\sqrt{70}$$

C. $$3\sqrt{70}$$

D. $$70 + \sqrt{70}$$

E. $$\sqrt{280}$$

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Re: What is the perimeter of the triangle shown inside a circle with cente  [#permalink]

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02 Sep 2018, 23:44
Pi*r^2=70*pi
So r=sqrt{70}
Hypotenuse of triangle will be=sqrt{70+70}
Sonperimeter will be 2*sqrt{70}+sqrt{140}
B should be the correct choice
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Schools: Molson '21 (A)
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Re: What is the perimeter of the triangle shown inside a circle with cente  [#permalink]

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03 Sep 2018, 00:01
Pi r² = 70 pi

=>r² = 70

Two sides of right triangle is root(70)

2(root(70)) +hypotenuse

By theorem hyp = root (root(70)² + root(70)²)

=root(140)

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Re: What is the perimeter of the triangle shown inside a circle with cente   [#permalink] 03 Sep 2018, 00:01
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# What is the perimeter of the triangle shown inside a circle with cente

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