Question

Help!

Answer 1

Can you guide me through the steps please?

Answer 2

@jim_thompson5910

Answer 3

ignore the shaded region and just focus on the entire circle for now

Answer 4

what is the area of the entire circle?

Answer 5

113.1

Answer 6

estimate

Answer 7

good, what is the ratio of the two areas?

Answer 8

(smaller area)/(larger area) = ???

Answer 9

0.4?

Answer 10

yeah roughly, I'm getting 0.40275042543532

so that's close enough

Answer 11

the smaller area is roughly 0.40275042543532 times smaller than the larger area

so this means that the arc AC is 0.40275042543532 times smaller than the circumference

Answer 12

see how that works out?

Answer 13

yea

Answer 14

ok great

Answer 15

What do i do now?

Answer 16

now compute the circumference of the entire circle

Answer 17

37.7

Answer 18

I'm getting 37.6991118430776

Answer 19

now you multiply 0.40275042543532 by 37.6991118430776 to get 0.40275042543532*37.6991118430776 = 15.1833333333332

Answer 20

so arc AC is roughly 15.1833333333332 cm long

Answer 21

ty

Answer 22

yw