Question

can someone please help me with geometry i've been watching lessons online all day and i just can't get it ?

Answer 1

i can try

Answer 2

I'm so sorry! its ok if you can't

Answer 3

dont say sorry

Answer 4

The measure of ABC is 46°. What is the measure of its intercepted arc AC?

Answer 5

i've been watching khan videos but i just can't grasp geometry

Answer 6

oh it's easy idk this one but i can look it up and see what i can find

Answer 7

Vertex on the circle, so the angle of that inscribed angle is half the measure of the intercepted arc.

Answer 8

hint:

http://www.mathsisfun.com/geometry/circle-theorems.html

Answer 9

ah thanks mathisfun is a good website never thought of that one!

Answer 10

Yeah, theres a bunch of resources for this circle stuff. Just one of those random things I remember about the circle thing. A lot of this geometry stuff I've never done unfortunately.

Answer 11

that link basically rephrases what Psymon is saying

the inscribed angle is half of the central angle (both have to cut off the same arc)

OR

the central angle is twice as large as the inscribed angle (both have to cut off the same arc)

Answer 12

so it would be 96?

Answer 13

i mean 92

Answer 14

sorry

Answer 15

good catch, yep 92

Answer 16

thanks!

Answer 17

you're welcome

Answer 18

A circle has a radius of 11 centimeters. If 5/6 of the circle is cut away, what is the area of the remaining portion? Use 3.14 for pi .

Answer 19

would i just apply this one to the formula for area?

Answer 20

Well, first off how much of the circle would be left?

Answer 21

1/6

Answer 22

Correct. So if 1/6 of the circle is left, 1/6 of the area is also left.

Answer 23

So you would find the area of the circle and divide it by 6 : )

Answer 24

ah thanks!

Answer 25

Yep yep :3

Answer 26

https://www.khanacademy.org/math/geometry/circles/v/inscribed-and-central-angles

Answer 27

In the circle above, FH and GJ are chords which intersect at point K.

If FK = 12 mm, HK = 16 mm, and GK = 8 mm, what is the length of JK?

Answer 28

does anyone know how to solve this one is there a certain formula?

Answer 29

watch the vid and let me know if it is related or not

Answer 30

okay i will

Answer 31

hint: intersecting chords theorem

Answer 32

check out this page

http://www.mathopenref.com/chordsintersecting.html

Answer 33

ahh so FH is equal to GH?

Answer 34

in this case, the intersecting chords theorem allows us to say

HK*KF = GK*KJ

Answer 35

The line segments of the same line multiply together to equal the line segments of the other line multiplied. In other words......what jim just said, haha.

Answer 36

plug in the given info and solve for JK

Answer 37

20?

Answer 38

i'm not sure i'm a little confused

Answer 39

24

Answer 40

let JK = x (ie it's unknown for now)


HK*KF = GK*KJ

16*12 = 8*x

now solve for x to get the length of JK

Answer 41

Yes, 24 @helter-skelter12345

Answer 42

The measure of angle FJG = 26° and the measure of arcFK = 137°. What is the measure of arcGHK?

Answer 43

this one seems simple but im not sure

Answer 44

because i already have the arc would i subtract it from360?

Answer 45

nvm lol

Answer 46

Figured it out?

Answer 47

so i have to figure out the arc for fg

Answer 48

Well, we just had a problem that said the inscribed angle is half of the measure of the arc it intercepts.

Answer 49

would it be 171?

Answer 50

Sounds good to me.

Answer 51

The measure of arc MP is 68°.

Answer 52

What is the measure of angle MAP?

Answer 53

MAP is half the measure of arc MP

Answer 54

ahh kay

Answer 55

Youve done that same kind of problem 3 times now. Nothing is changing whenever you see that inscribed angle with the vertex on the circle.

Answer 56

34?

Answer 57

Yes, 34 is the answer

Answer 58

it confuses me because sometimes i answer it wrong and its supposed to be twice not half

Answer 59

The Angle is half the measure of the arc, and the arc is twice the measure of the angle.

Answer 60

Well, think of it. The closer you are to the arc, the bigger the angle has to be. But when the vertex is on the circle like that, you cant be any further from the arc, so you have to have a smaller angle there.

Answer 61

What is angle STR?