Question

AB is tangent to circle O at B. The diagram is not drawn to scale. If AB =15 in and AO =20, what is the length of the radius (r)? Round the answer to the nearest tenth.

Answer 1

The  length of the radius (r) to the nearest tenth is 13.2

What is Pythagoras theorem?

The theorem states that the square of the longest side is equal to the sum of the square of other two sides.

In order to determine the radius of the circle, we will use the theorem above to have:

AO² = AB² +r²

Given

AB = 15

AO = 20

Substitute

20² = 15² +r²

r² = 400 - 225

r² = 175

r = 13.2

Hence the  length of the radius (r) to the nearest tenth is 13.2

Learn more on Pythagorean theorem here: brainly.com/question/343682

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