Question

Solve for length of segment d.

a = 4 cm
b = 12 cm
c = 6 cm
4.[?]
Enter the segment length tha
belongs in the green box.
=
If two segments intersect inside
or outside a circle: ab = cd

Answer 1

d = 8 cm

Explanation:

Pre-Solving

We want to find the length of segment d.

We are given a circle, with two segments that intersect the circle. We also know that a = 4 cm, b = 12 cm, c = 6 cm.

We are also given that if two segments intersect inside or outside a circle, ab = cd. Because the two segments do intersect the circle, we can use the equation that was given.

Solving

We can plug the values that we know into the equation.

ab = cd

4 * 12 = 6 * d

Now, divide both sides by 6.

`(4 * 12)/(6) = d`

8 = d

So, d is 8 cm.