Question

Another Geometry question... I need someone to explain please.

Answer 1

@jimthompson5910

Answer 2

AD and BC are two chords that are the same distance away from the center (both 5 units away). This means AD and BC are the same length.

AD = BC
4x+4 = 6x-6
What do you get when you solve for x? This won't be the answer, but it helps us get one step closer to it.

Answer 3

\(\color{#0cbb34}{\text{Originally Posted by}}\) @jimthompson5910
AD and BC are two chords that are the same distance away from the center (both 5 units away). This means AD and BC are the same length.

AD = BC
4x+4 = 6x-6
What do you get when you solve for x? This won't be the answer, but it helps us get one step closer to it.
\(\color{#0cbb34}{\text{End of Quote}}\)
I got x=5 as the answer.

Answer 4

Correct. As a way to check that we have
AD = 4x+4 = 4*5+4 = 20+4 = 24
BC = 6x-6 = 6*5-6 = 30-6 = 24
Both AD and BC are 24 units long

This leads to the next step, which is cutting either chord in half to get what you see in the diagram

Answer 5

we have AD = 24 cut in half to get AE = 12 and DE = 12
and we have BC = 24 cut in half to get CF = 12 and FB = 12

Draw a line segment from Q to either A,B,C, or D. I'll pick A

Answer 6

from here you use the pythagorean theorem to find r

Answer 7

I got 13. Is 13 the radius ?

Answer 8

13 is the correct final answer

Answer 9

\(\color{#0cbb34}{\text{Originally Posted by}}\) @jimthompson5910
13 is the correct final answer
\(\color{#0cbb34}{\text{End of Quote}}\)
Thank you so, so, so much !!!

Answer 10

You're welcome