Answer:
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
