##### Like what you saw?

##### Create FREE Account and:

- Watch all FREE content in 21 subjects(388 videos for 23 hours)
- FREE advice on how to get better grades at school from an expert
- Attend and watch FREE live webinar on useful topics

# Chords and a Circle's Center - Problem 1

###### Brian McCall

###### Brian McCall

**Univ. of Wisconsin**

J.D. Univ. of Wisconsin Law school

Brian was a geometry teacher through the Teach for America program and started the geometry program at his school

We can use what we know about chords and their relationship with the center of the circle to solve for missing for missing side lengths. If we start off we’re told that CD which is one of our chords is equal to 20. We’re looking for FD which is part of that segment and we’re looking for OF.

Well, as it’s marked I see that F is the midpoint of CD. Which means FD is going to be half of that. So FD is going to be 10 since the whole distance is 20.

Now, I know that chords that are congruent, I know that they have the same number of congruence markings, are the same distance from the center of the circle. I see that chord AB is 10 units away from the center of the circle, which means OF, which measures the distance from the center of the circle, these two segments must be congruent which means OF must be 10 as well.

So the key here is remembering that the perpendicular bisector will create two congruent line segments and that congruent chords are the same distance away from the center of the circle.

Please enter your name.

Are you sure you want to delete this comment?

###### Brian McCall

B.S. in Chemical Engineering, University of Wisconsin

J.D. University of Wisconsin Law School (magna cum laude)

He doesn't beat around the bush. His straightforward teaching style is effective and his subtle midwestern accent is engaging. There's never a dull moment with him.

so my teacher can't explain this in 5 weeks but I learn this in less than 3 minutes”

its hard to focus when the teacher is really really really goodlooking”

i like how it took you 3 minutes and 8 seconds to accomplish what my teacher couldn't in 3 days”

##### Concept (1)

##### Sample Problems (3)

Need help with a problem?

Watch expert teachers solve similar problems.

## Comments (0)

Please Sign in or Sign up to add your comment.

## ·

Delete