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Circle O is tangent to AB at A, and angle ABD = 90 degrees. If AB = 12 and CD = 20, find the radius of the circle.

 

 Apr 13, 2022

Best Answer 

 #1
avatar+2432 
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Let point E be the midpoint of CD. 

 

Now, \(DE = EC =10\)


We know that \(AB = OE = 12\)

 

Applying the Pythagorean Theorem to \(\triangle OEC\), we find the hypotenuse, or in this case, the radius to be \(\color{brown}\boxed{2 \sqrt{61}}\)

 Apr 13, 2022
 #1
avatar+2432 
+2
Best Answer

Let point E be the midpoint of CD. 

 

Now, \(DE = EC =10\)


We know that \(AB = OE = 12\)

 

Applying the Pythagorean Theorem to \(\triangle OEC\), we find the hypotenuse, or in this case, the radius to be \(\color{brown}\boxed{2 \sqrt{61}}\)

BuilderBoi Apr 13, 2022

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