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505-555 (Easy)|   Geometry|      
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EBITDA
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In the figure, OR and PR are radii of circles. The length of OP is... 01 Aug 2016, 10:42
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

15% (low)

Question Stats:

87% (01:49) correct 13% (02:30) wrong based on 46 sessions

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In the figure, OR and PR are radii of circles. The length of OP is 4. If OR = 2, what is PR? PR is tangent to the circle with center O.

A) 2
B) 5/2
C) 3
D) 2\(\sqrt{3}\)
E) 3\(\sqrt{2}\)

Please explain in detail your answer so that we call all follow it.

Thank you.
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D

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rohit8865
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In the figure, OR and PR are radii of circles. The length of OP is... 01 Aug 2016, 19:11
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EBITDA
In the figure, OR and PR are radii of circles. The length of OP is 4. If OR = 2, what is PR? PR is tangent to the circle with center O.

A) 2
B) 5/2
C) 3
D) 2\(\sqrt{3}\)
E) 3\(\sqrt{2}\)

Please explain in detail your answer so that we call all follow it.

Thank you.
Show more
If PR is tangent to the circle O then it must form 90 deg(angle ORP) along with radius PR and hence triangle ORP is right triangle
as 2 sides of triangle is known we can find the third side as 4^2-2^2=16-4=12=r^2
= 2\(\sqrt{3}\)

Hence Ans D
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EBITDA
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In the figure, OR and PR are radii of circles. The length of OP is... 02 Aug 2016, 06:35
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rohit8865
EBITDA
In the figure, OR and PR are radii of circles. The length of OP is 4. If OR = 2, what is PR? PR is tangent to the circle with center O.

A) 2
B) 5/2
C) 3
D) 2\(\sqrt{3}\)
E) 3\(\sqrt{2}\)

Please explain in detail your answer so that we call all follow it.

Thank you.
If PR is tangent to the circle O then it must form 90 deg(angle ORP) along with radius PR and hence triangle ORP is right triangle
as 2 sides of triangle is known we can find the third side as 4^2-2^2=16-4=12=r^2
= 2\(\sqrt{3}\)

Hence Ans D
Show more

Hi Rohit8865,

How do you derive the part in red?

Can anyone else please explain the answer to this problem?

Thank you.
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BrentGMATPrepNow
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In the figure, OR and PR are radii of circles. The length of OP is... 02 Aug 2016, 06:40
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EBITDA
rohit8865
EBITDA
In the figure, OR and PR are radii of circles. The length of OP is 4. If OR = 2, what is PR? PR is tangent to the circle with center O.

A) 2
B) 5/2
C) 3
D) 2\(\sqrt{3}\)
E) 3\(\sqrt{2}\)

Please explain in detail your answer so that we call all follow it.

Thank you.
If PR is tangent to the circle O then it must form 90 deg(angle ORP) along with radius PR and hence triangle ORP is right triangle
as 2 sides of triangle is known we can find the third side as 4^2-2^2=16-4=12=r^2
= 2\(\sqrt{3}\)

Hence Ans D

Hi Rohit8865,

How do you derive the part in red?

Can anyone else please explain the answer to this problem?

Thank you.
Show more
This is one of 5 important circle properties you need to know for the GMAT.

RELATED VIDEO:
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In the figure, OR and PR are radii of circles. The length of OP is... 04 Nov 2024, 10:59
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