Question

In circle O, m 12 years ago

Answer 1

https://study.ashworthcollege.edu/access/content/group/45b8c516-1008-46d7-aa1d-bb9b62c786ff/geometry_exam_12_files/mc008-3.jpg

Answer 2

Angle R is an inscribed angle of a circle. Use the attached theorem to get the measure of the arc it cuts off. The intercepted arc is in blue.

Answer 3

The measure of an inscribed angle is how related to its intercepted arc?

Answer 4

I understand the theorem but how do find the length?

Answer 5

Read the part of the attachment that says that the measure of the inscribed angle is ...... ? What comes next?

Answer 6

1/2 the measue of the arc

Answer 7

so multply it by two?

Answer 8

Yes.

So if angle R is 23, what is the measure of arc NQ ?

Answer 9

do its 46?

Answer 10

Yes.
Next, do you see that central angle O cuts off the same arc that angle R did?

Answer 11

Right so 23?

Answer 12

No, the central angle is not 23.
On the previous problem, what did we say is the measure of the central angle of a circle in relation to its intercepted arc?

Answer 13

1/2

Answer 14

No, that was the inscribed angle. We're talking central angles.

Answer 15

I have no idea...

Answer 16

Read this.

Answer 17

Okay i did..

Answer 18

It is the arc!

Answer 19

So the Angle is 46!

Answer 20

That is correct.

Answer 21

THANK YOU SOO MUCH!

Answer 22

You are welcome.

Answer 23

https://study.ashworthcollege.edu/access/content/group/45b8c516-1008-46d7-aa1d-bb9b62c786ff/geometry_exam_12_files/mc003-1.jpg
For this wouldnt the X angle be 77?

Answer 24

Yes.

Answer 25

Because they are congruent right?

Answer 26

https://study.ashworthcollege.edu/access/content/group/45b8c516-1008-46d7-aa1d-bb9b62c786ff/geometry_exam_12_files/mc012-1.jpg
This is confusing me again...

Answer 27

There is a little bit more to it.

You don't know that the angles are congruent right off the bat.

Look at the two congruent chords of the circle that go with the arcs cut off by the two central angles. Because in a circle, congruent chords have congruent arcs and the two central angles cut off congruent arcs, their measures are the same.

Answer 28

Okay, well thank you a lot!

Answer 29

We have done one like that.

Answer 30

Here's the theorem you need. ^^

Answer 31

So, what is the equation you would write to solve the equation.

Answer 32

Alright! I got it from here! Thanks man!

Answer 33

X^2=5(12+5)

Answer 34

Very good.

Answer 35

X^2 = ?

Answer 36

9.2?

Answer 37

85

Answer 38

Would it be 9.2 or 85???

Answer 39

x^2 = 85

x = 9.2? Yes.

Answer 40

Okay:) thanks!

Answer 41

I'll look for you online when I'm on. I enjoyed working with you.

Answer 42

Thanks same with you!