Question

What is the arc length if Θ = 7pi/4 and the radius is 5

Answer 1

@ganeshie8

Answer 2

arc length = angle*radius

Answer 3

\[\theta = \frac{ a }{ r }\]a = arc length r = radius

Answer 4

so what would i plug in

Answer 5

arc length = angle*radius

you want to know arc length right?
so multiply the angle with the radius...

Answer 6

whats the angle though? is it \[\frac{ 7\pi }{ 4 }?\]

Answer 7

@dumbcow

Answer 8

yes theta typically refers to the angle
7pi/4 is angle in radians

Answer 9

\[a = \theta*r \implies \frac{ 7 \pi }{ 4 }(5)\]

Answer 10

so 27.488?

Answer 11

or is it \[\frac{ 35\pi }{ 4 }\]?

Answer 12

same thing...one is exact the other is a decimal approximation

Answer 13

so its \[\frac{ 35\pi }{ 4 }??\]

Answer 14

depends on what the instructions are regarding the format of answer

Answer 15

okay. i have another question

Answer 16

In the supermarket, there is a scale that measures the weight of fruit and vegetables. The needle is 24 cm long and rotated 96° when Charlie placed four tomatoes on it. How far did the needle travel as it rotated?

Answer 17

1152π
2304π
\[\frac{ 5\pi }{ 64 }\]
\[\frac{ 64\pi }{ 5 }\]

Answer 18

ok they want arc length again

note: angle MUST be in radians to find arc length

Answer 19

so how do i make it into radians

Answer 20

pi = 180 degrees

96 * (pi/180) --> gives you radians

Answer 21

so you have to divide by pi? so then it would be \[\frac{ 96 }{ \pi }\times 180?\]

Answer 22

?? why divide

--> 96*(pi/180) = 96pi/180

reduce fraction

Answer 23

so what would that be

Answer 24

cmon you can figure it out

example:
8/12 = 4/6 = 2/3

Answer 25

my calculator died i dont have any batteries...i really just want the answer