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# The length of the tangent drawn from a point P to a circle

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Senior Manager
Joined: 28 Jul 2011
Posts: 404
Location: United States
GPA: 3.86
WE: Accounting (Commercial Banking)
The length of the tangent drawn from a point P to a circle  [#permalink]

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28 Apr 2012, 06:48
2
2
00:00

Difficulty:

55% (hard)

Question Stats:

59% (01:47) correct 41% (01:30) wrong based on 118 sessions

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The length of the tangent drawn from a point P to a circle of radius 2.5 cm is 6 cm. What is the shortest distance from point P to the circle.?

A. 2
B. 2.5
C. 3
D. 3.5
E. 4

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Joined: 02 Sep 2009
Posts: 47978
Re: The length of the tangent drawn from a point P to a circle  [#permalink]

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30 Apr 2012, 01:41
1
1
kotela wrote:
The length of the tangent drawn from a point P to a circle of radius 2.5 cm is 6 cm. What is the shortest distance from point P to the circle.?

A. 2
B. 2.5
C. 3
D. 3.5
E. 4

Look at the diagram below:
Attachment:

Tangent.png [ 9.02 KiB | Viewed 12075 times ]
The shortest distance from point P to the circle is the length of x.

Now, the hypotenuse OP equals to $$\sqrt{2.5^2+6^2}=6.5$$, hence $$x=6.5-2.5=4$$.

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Re: The length of the tangent drawn from a point P to a circle  [#permalink]

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11 May 2018, 11:57
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Re: The length of the tangent drawn from a point P to a circle &nbs [#permalink] 11 May 2018, 11:57
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