Angle C is inscribed in circle O.
AB is a diameter of circle O.
What is the radius of circle O?
_units

5units

Step-by-step explanation:

The triangle inscribed in the circle is a right angled triangle with angle C being 90°.

The diameter of the circle AB is the hypotenuse of the triangle.

Before we can get the radius, we need to get the diameter AB using Pythagoras theorem.

|AB|² = |AC|²+|BC|²

|AB|² = 6²+8²

|AB|² = 36+64

|AB|² = 100

|AB| = √100

|AB| = 10

Diameter of the circle = 10units

Radius = diameter/2 = |AB|/2

Radius = 10/2

Radius = 5units