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Piedmont College

Oregon State University

University of Michigan - Ann Arbor

00:21

Amrita B.

Planes $M$ and $N$ are known to intersect. a. What kind of figure is the intersection of $M$ and $N ?$ lire b. State the postulate that supports your answer to part (a).

01:18

Martha R.

Points $A$ and $B$ are known to lie in a plane. a. What can you say about $\dot{A B}$ ? b. State the postulate that supports your answer to part (a).

00:13

Evan S.

Classify each statement as true or false. $D$ is on line $h$.

00:56

Make a sketch showing four points that are not coplanar.

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Okay, so we're here to practice what we know about our Clinton how to find it. So recall that it's really a lot of portion. So if we wanted to find this given arc length l knowing that we have a central angle here of 1. 40. I'm sorry. Essential angle here of 1 40 with a radius of 10. Okay, well, the fact that we know that wet angles 1 40 if I subtract that from 3. 60 that I know this part here is 220 degrees. So we could go okay to 20 is to 3. 60 is l is too. Well, the circumference is gonna be two times pi times 10 or in other words, 20 pie. So that gets this 20 pi times 2 20 over 3. 60 equals l, which is about not about which is 110 pie over nine, which equals l. And that's approximately 38 4. So that would be a very straightforward example of finding arc length. Now. One other example I could give you is what if I give you a circle and let's say we had 110 degree angle and we had an arc length of, let's say 12. Well, what kind of question could I ask? Why could say, Well, I know that 1 10 Is the 3 60 as 12 as to what? Well I could ask for What's the circumference? I could also ask for What's the Radius? So we know that this is the circumference. Or, in other words, replace this with two pi r and now we know. Let's see, let's do a little reducing. 1 10, divided by 3 60 ends up being 11. 36 of course, equals what looks to be six over pi R. So that would be 11. Pi r equals 36 times six, which is to 16. And then we would take to 16 and divide by 11 pi and we'll end up with and our value of roughly to 16 1st went away. 11, divided by pi would get us something roughly six point three. So all I did here was set up the same ratio. The angle measure the part 260. The whole is the arc length 12, the part to the circumference, which is the whole cross. Multiply it again, reduced and so forth assault for our we've got in our value of 6.3. At this point, you can find the diameter. You find the area so forth. So these air to basically examples of park length.

Parallel and Perpendicular lines

Deductive Reasoning

Non Rigid Transformations (Dilations)

Polygons

Geometry Basics

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