Answer:
8 cm
Step-by-step explanation:
We first want to draw a diagram with the given information.
I am unsure if the image shows below, or if it is an attachment.
We then see we have a right triangle. What is a theorem that is commonly associated with right triangles?
So we use the pythagorean theorem to find the missing leg of the triangle has a length of 4 cm. But how does this help us? Well, when finding the distance from the center of a circle to a chord, we always find the line that is perpendicular to the chord and divides it in half (and passes through the center), and find the length.
So, the leg of length 4 we just found? That's half of our answer.
Since 4 × 2 = 8, we know that the length of AB is 8 cm.
