Question

What is the arc length of a circle that has a 6-inch radius and a central angle that is 65 degrees? Use 3.14 for π and round your answer to the nearest hundredth.

Answer 1

0.65 inch
1.13 inches
6.80 inches
390.01 inches

Answer 2

formula for arc length \[\int\limits_{a}^{b} \sqrt{1+(f'(x))^2}\]

Answer 3

so just solve it??

Answer 4

ohh i see

Answer 5

i was having the wrong approach

Answer 6

it is something like this http://www.regentsprep.org/regents/math/algtrig/atm1/arclengthlesson.htm

Answer 7

theta = r / s where s is the arc length

Answer 8

since we want s then our equation is (theta * r)

Answer 9

so it would be (65 * 6)

Answer 10

but that is degrees and we want it in radians

Answer 11

so we need to convert we do that by (65* pi)/180

Answer 12

since they tell you use 3.14 for pi just do (65*3.14)/180

Answer 13

that is approximately 1.13

Answer 14

so plugin back

Answer 15

1.13 * 6

Answer 16

the answer is 6.80

Answer 17

rounding it up

Answer 18

do you get why?

Answer 19

ok good luck then!

Answer 20

sorry i left my computer i understand it now thank you so much @blackstreet23