Question

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Answer 1

@Vocaloid

Answer 2

@Tranquility

Answer 3

Do you know the relation between major and minor arcs?

Answer 4

Not sure

Answer 5

okay so thats how it looks like

Answer 6

So the central angle is equal to the minor arc. Can you find the major arc now, knowing that a full circle is 360°?

Answer 7

49?

Answer 8

That's the minor arc.

Answer 9

well D is the major so how we find out D?

Answer 10

Major arc is arc ADB, which is what you're supposed to find.
Major arc=360-minor arc

Answer 11

and minor arc is what you just said

Answer 12

311

Answer 13

is the major arc

Answer 14

yes

Answer 15

Got it

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Answer 16

Same logic, you're asked to find minor arc here.

Answer 17

central angle = minor arc.
major arc=360°-minor arc
major arc + minor arc = 360°

Answer 18

Use those formulas and answer the question

Answer 19

Do you understand what it's asking you to find and what the question is giving you?

Answer 20

is the 56 the major arc?

im just confused on what the 56 is

Answer 21

Angle ACB is 56°. Since angle ACB's vertex is the center of the circle, that would be the central angle.
Major arc would be the larger arc. Minor arc is the shorter arc. And arcs lie on the circle's circumference, they're not the central angle.

Answer 22

So you know the central angle, ACB, is 56. Now you are asked to find arc AB. is that arc minor or major?

Answer 23

minor

Answer 24

You have the central angle and you are asked to find the minor, so apply one of the formulas below:

central angle = minor arc.
major arc=360°-minor arc
major arc + minor arc = 360°

Answer 25

304?

Answer 26

No..

You're asked to find the minor arc, which is arc AB. You already have the central angle. You would need to use this formula, of course:
central angle = minor arc

You just find the major arc.

Answer 27

ok 56 is the central angle

Answer 28

and the minor angle is what

Answer 29

confused.

Answer 30

Minor arc* is the arc AB, which is what you're supposed to find. It coincides with the central angle, ACB. Do you agree?

Answer 31

Yes

Answer 32

You're supposed to use the idea that

central angle = minor arc that subtends over the central angle

As long as it subtends over the central angle, you can use that concept.

The central angle is 56. Minor arc AB subtends over that central angle. So that means that the minor arc AB is also 56.

Answer 33

Do you get that now?

Answer 34

Oh well that makes sense. It wasn't clear for me my bad

Answer 35

^ that's the idea that was used in this question. Just make sure always subtends/goes over over the central angle.

Answer 36

Got it okay

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Answer 37

For almost all math questions, first ask yourself:

1. What is it asking me to find?
2. What is given in the question?
3. How to find/calculations
4. Justification
5. double check

So what is it asking you to find? Major, minor, or central angle?

Answer 38

Central angle?

Answer 39

correct, now what's given in the question?

Answer 40

Are they giving the measure of a major, minor, or central angle?

Answer 41

Major

Answer 42

So how can you find the central angle from a major arc?
(hint: use these 2 formulas

central angle = minor arc.
major arc=360°-minor arc)

Answer 43

250=360-minor arc

Answer 44

Correct, so solve for the minor arc using algebra.

Answer 45

what did you get for the minor arc?

Answer 46

110?

Answer 47

yes, now you're supposed to find the central angle. how would you do that now?

[hint: central angle = minor arc that subtends]

Answer 48

so its 110

Answer 49

yes

Answer 50

okay

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Answer 51

1. What is it asking me to find?
2. What is given in the question?
3. How to find/calculations
4. Justification
5. double check

Do the same thing and remember these formulas:
central angle = subtending minor arc
major arc=360°-minor arc
major arc + minor arc = 360°

Answer 52

but here we have to find x

Answer 53

Yeah you can still do it with the same formulas. Just go through the same template and you'll figure it out.

Answer 54

the minor arc is 4x+12

Answer 55

I mean the minor arc is x+13

Answer 56

correct ^

Answer 57

the central arc is 4x+12

Answer 58

so we have to find the major arc

Answer 59

No you don't need to find the major arc. You need to find x.
Also it's central angle* not arc. There's a difference.

Answer 60

Recall that
subtending minor arc=central angle

subtending minor arc is x+13
central angle is (4x+12)°

So you can go on from here using that formula

Answer 61

x=1/3

Answer 62

correct

Answer 63

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Answer 64

we need to find the major arc

Answer 65

Same concept here. I can't do all your questions as I have other work as well. I think you can do it on your own now.

Answer 66

Can you at least tell me if im right

Answer 67

ok

Answer 68

the central angle is 102.

so we do 360-102?

Answer 69

yes

Answer 70

which is 258.

Answer 71

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here we do x+2=16x ?

Answer 72

No because angle ACB is an inscribed angle, not a central angle. The formula for that is

inscribed angle = 1/2(central angle)

First find central angle
then you can do central angle=minor arc

Answer 73

x+2=1/2(central angle) ?

Answer 74

yes. you'd then multiply the inscribed angle by 2. Then you'll get your central angle.

Answer 75

Maybe someone else can take over. I have to go.