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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, 05:15
1
2
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

66% (01:41) correct 34% (01:39) wrong based on 71 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, 04:51.
Last edited by targetbusiness on 14 Aug 2018, 05:15, 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, 05:13
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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, 05:17
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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

E
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3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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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, 05:22
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, 04:59
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, 05:05
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1
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
\(r^2=(-√3)^2+1^2=3+1=4.....r=2\)
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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Re: In the semicircle with center O, which of the following is the best es &nbs [#permalink] 13 Sep 2018, 05:05
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