1. Find the length of the radius of the circle. Show your work:

AC is tangent to circle O at point C.

What is the radius

Radius = 3

Step-by-step explanation:

We can't get accurate answer as the question is incomplete. There are no diagrams to help with the solution.

From the question, we can tell we need to find the value of the radius given some values.

The diagram used in solving this problem has been attached.

Given values from the diagram:

AB = 2

AC = 4

AC is tangent to circle O at point C.

To find the radius, we would apply Pythagoras theorem.

OC = OB (radius of the circle)

A radius is a line drawn from the center of a circle to the circumference of a circle.

Let OC = OB = x

Using Pythagoras theorem,

(Hypotenuse) ^2 = (adjacent)^2 + (opposite)^2

Hypotenuse = 2 + OB = 2+x

opposite = OC = x

adjacent = 4

(2+x)^2 = 4^2 + x^2

(2+x)+(2+x) = 16+x^2

4+2x+2x+x^2 = 16+x^2

4 +4x = 16+x^2 - x^2

4x = 16-4

4x = 12

x = 12/4 = 3

Radius OC = 3

Radius OB = 3

ok

step-by-step explanation:

step-by-step explanation:

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