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In the semicircle with center O, which of the following is the best es

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In the semicircle with center O, which of the following is the best es  [#permalink]

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New post Updated on: 14 Aug 2018, 06:15
1
2
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

63% (02:07) correct 37% (02:09) wrong based on 78 sessions

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In the semicircle with center O, which of the following is the best estimate for the distance between points P and Q?

(A).33
(B)1.42
(C)1.73
(D)2.65
(E)2.82

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Originally posted by targetbusiness on 14 Aug 2018, 05:51.
Last edited by targetbusiness on 14 Aug 2018, 06:15, edited 1 time in total.
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Re: In the semicircle with center O, which of the following is the best es  [#permalink]

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New post 14 Aug 2018, 06:13
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Correct answer should be E.
Its a right angle triangle with 2 sides being 2 each. Using pythagoras, hypotenuse PQ would be 2.82
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Re: In the semicircle with center O, which of the following is the best es  [#permalink]

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New post 14 Aug 2018, 06:17
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siddreal wrote:
In the semicircle with center O, which of the following is the best estimate for the distance between points P and Q?

(A).33
(B)1.42
(C)1.73
(D)2.65
(E)2.82


OP =0Q = radius=√(1^2+(√3)^2)=√4=2
OPQ is isosceles right angled triangle so PQ =2√2=2*1.4=2.8

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Re: In the semicircle with center O, which of the following is the best es  [#permalink]

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New post 14 Aug 2018, 06:22
abhishekgup wrote:
Correct answer should be E.
Its a right angle triangle with 2 sides being 2 each. Using pythagoras, hypotenuse PQ would be 2.82


Yes answer should be E.

OP=OQ=radius=2

\(hypotenuse=2*\sqrt{2}=2.82\) (Approx.)
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Re: In the semicircle with center O, which of the following is the best es  [#permalink]

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New post 13 Sep 2018, 05:59
chetan2u hi this might seem like a stupid question but for the life of me i can't understand how you got the radius to be 2?
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Re: In the semicircle with center O, which of the following is the best es  [#permalink]

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New post 13 Sep 2018, 06:05
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hibobotamuss wrote:
chetan2u hi this might seem like a stupid question but for the life of me i can't understand how you got the radius to be 2?



Hi..
Point P is on circumference and center is origin..
So the radius is the distance of P from origin..
P is given as (-√3,1) that is x is -√3 and y is 1 so it's a right angled triangle at 0 with sides -√3 and 1 and radius is the hypotenuse
\(r^2=(-√3)^2+1^2=3+1=4.....r=2\)
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Re: In the semicircle with center O, which of the following is the best es   [#permalink] 13 Sep 2018, 06:05
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In the semicircle with center O, which of the following is the best es

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