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In the figure above, two lines are tangent to a circle at

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by swerve » Wed Sep 05, 2018 9:34 am

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In the figure above, two lines are tangent to a circle at points A and B. What is x?

(1) The area of the circle is 81Ï€.
(2) The length of arc ADB is 7Ï€.

The OA is C.

Source: Manhattan Prep
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Source: — Data Sufficiency |

swerve wrote:Image
In the figure above, two lines are tangent to a circle at points A and B. What is x?
(1) The area of the circle is 81Ï€.
(2) The length of arc ADB is 7Ï€.
Excellent opportunity to explore our two powerful tools when dealing with geometric-related Data Sufficiency problems:

The GEOMETRIC BIFURCATION and
THE ALGEBRAIC-GEOMETRIC BIFURCATION

Please study the image attached!

This solution follows the notations and rationale taught in the GMATH method.

Regards,
fskilnik.


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Fabio Skilnik :: GMATH method creator ( Math for the GMAT)
English-speakers :: https://www.gmath.net
Portuguese-speakers :: https://www.gmath.com.br
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