Question

The arc corresponding to a central angle of 65 in a circle of radius 10 feet measures _____ feet. Round your answer to two decimal places.

Answer 1

so what would the circumference of that circle be?

Answer 2

im not quite sure.

Answer 3

circumference = 2 pi r
and r =10

Answer 4

yea

Answer 5

circumference = 2 pi r
= 2 x pi x 10
= 20 x 3.14
= ...? @StudentLearner

Answer 6

62.8

Answer 7

spot on,
now angle = 65 degrees
so arc is 65 degrees
and full circle is 360 degrees... yes?

Answer 8

yes

Answer 9

so what percentage of the full circle is our arc?
ie percentage = (arc / full circle) x100

Answer 10

18.055

Answer 11

perfect dude,

so our arc is 18.06 % of our total circumference
so if our circumference is 62.83
arc length = circumference length x (percentage/100)
=...?

Answer 12

11.35

Answer 13

how'd jew go dude?
arc length = circumference length x (percentage/100)
arc length = 62.83 x 0.18055 ... =...?

Answer 14

11.347098 to be exact.

Answer 15

awesome man, props hey

Answer 16

thank you but will it be 11.35 or 11.34?

Answer 17

Round your answer to two decimal places.

Answer 18

exact = 11.34464, so round up to 11.35

Answer 19

thanks!

Answer 20

always welcome dude

Answer 21

11.34 - final answer