Question

In the figure to the right, if AC = 15 and BC = 12, what is the radius?

Answer 1

The radius of the circle has a calculated length of 9 units

How to determine the length of the radius of the circle

From the question, we have the following parameters that can be used in our computation:

The circle

Where, we have

BC is tangent to circle A

This means that we can use the Pythagoras theorem

Given that

AC = 15

BC = 12

So, we have

AB² = 15² - 12²

Evaluate

AB² = 81

Take the square root of both sides

This gives

AB = 9

Hence, the length of the segment AB (ie. the radius) is 9 units

Answer 2

The radius is 9.0 units

Explanation:

we know that

In the right triangle of the figure ABC

Applying the Pythagorean Theorem

`AC^2=AB^2+BC^2`

substitute the given values

`15^2=AB^2+12^2`

solve for AB

`AB^2=15^2-12^2\\AB^2=81\\AB=9\ units`

Remember the the side AB of right triangle represent the radius of the circle

therefore

The radius is 9.0 units