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Circle O is tangent to AB at A, and angle ABD = 90 degrees. If AB = 12 and CD = 18, find the radius of the circle.

 Mar 23, 2020
 #1
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So, what exactly is the length CD? There is no point "C" ever mentioned within the problem itself.

 Mar 23, 2020
 #2
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[asy] unitsize(0.1 cm);pair A, B, C, D, O;O = (0,0);A = (0,-15);B = (-12,-15);C = (-12,-9);D = (-12,9);draw(Circle(O,15));draw((12,-15)--B--D);label(

Sorry, I forgot to Include the circle, this is the circle

 Mar 23, 2020
 #3
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Circle O is tangent to AB at A, and angle ABD = 90 degrees. If AB = 12 and CD = 18, find the radius of the circle.

 

The radius of the circle is:     r = sqrt [(CD/2)² + (AB)²] = 15

 

BC = 6

Guest Mar 24, 2020

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