Question

I do not grasp the concept of finding the measurements of arcs. Please help

*pics added in comments

Answer 1

I have to find arc KIM..and I got 235

Answer 2

I also do not know how to find the measurement of minor arc GH in problem #2.

Answer 3

My instructor keeps having me redo these problems, but is not telling me what I did wrong after repeatedly asking :/

Answer 4

i dont think KIM is 235

Answer 5

How do I find KIM

Answer 6

you should know arcMN is 80 because its the same measure as the central angle

Answer 7

do you know the measure of arcJK

Answer 8

would that be 80 too?

Answer 9

correct

Answer 10

and we know arcJKM=180

Answer 11

correct because it is half of the circle

Answer 12

and lets call arcKM x
so
80+x=180
so whats x?

Answer 13

100

Answer 14

correct.
so whats <KIM?

Answer 15

or 100

Answer 16

no.
100
remember the central angle is the same measure as its intercepted arc

since we found that its intercepted arc, KM=100,
then <KIM also =100

Answer 17

ok, I get it now. Thanks a bunch nikato

Answer 18

no problem.
and do you need help on the second one then?

Answer 19

Is there another method that I would have to use for the second problem since it is a minor arc

Answer 20

no. this would be the simplest method. and there would just be one less step for this second problem

Answer 21

becuz everything you need is already given to you

Answer 22

I think I can solve it now

Answer 23

ok

Answer 24

would this be the correct equation 70+x=180

Answer 25

no. should be
120+x=180

Answer 26

Or do I need to incorporate the 120 somewhere

Answer 27

we know arcGHD=180]
and arcHD=120
and lets call GH x

Answer 28

ok

Answer 29

because
arcHD + arcGH = arcGHD

Answer 30

its kinda like substitution once you find the equation

Answer 31

So x=60

Answer 32

Correct

Answer 33

Wow thanks. So the 70 degrees in the problem was sort of irrelevant?

Answer 34

Yea. It wasn't sort of irrelevant. It WAS irrelevant. Maybe there to throw you off