+0

# circle geometry

0
133
1

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

#1
+2541
+2

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
+2541
+2

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