Question

If C is the center of the circle, find the measure of arc KM

Answer 1

you mean length of major arc KM ??
becaus minor arc KM is already given to be 16pi

Answer 2

yes

Answer 3

good, then radius = KM =18

can you find the circumference ?

Answer 4

113.1

Answer 5

keep your answer in terms of pi

Answer 6

\[36\pi\]

Answer 7

yes,
out of this 36pi
minor arc KM has 16 pi
how much is left for major arc KM ?

Answer 8

\[20\pi\]

Answer 9

thats correct :)

Answer 10

@hartnn im confused my answer choices are the following
A.50.24 degrees
B.80 degrees
C.160 degrees
D.320 degrees

Answer 11

lets use the formula,
\(s = r \theta \\ 16\pi = 18 \theta \)

find theta and convert it to degrees

Answer 12

to convert a radian angle into degrees, multiply it by \(180/\pi \)

Answer 13

so \[18\theta\] to radians?

Answer 14

i mean degrees

Answer 15

no,
\(16\pi = 18 \theta \\ \theta = 16\pi /18 = ...\)
that will give you angle in radians.
then convert it to degrees

Answer 16

ok i got 160 degrees

Answer 17

yep, correct.

Answer 18

thanks