Question

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Answer 1

part I is arc length = radius * central angle [where central angle is in radians]

then for part II just solve for the central angle

Answer 2

[it's kind of hard to tell but I would estimate the radius as 6]

Answer 3

(or maybe it's 6.28? 2pi? :S)

Answer 4

6*15

Answer 5

90

Answer 6

(actually I'm going to go out on a limb and say the radius is actually 2pi since it looks greater than 6)

anyway, arc length is already given as 15, radius is 2pi, so

15 = (theta) * (2pi) solve for theta

Answer 7

2.39

Answer 8

good but let's leave it in terms of pi, theta = 15/(2pi) radians for part II

Answer 9

wait like this.

Answer 10

then, for part III, remember our conversion from earlier, radians to degrees you would multiply by (180/pi)

so 15/(2pi) * (180/pi)

then round to the nearest 2 decimal places

Answer 11

Part I: State the equation that relates arc length to central angle. (4 points)


Part II: Find the angle in radians. (4 points)

theta = 15/(2pi) r


Part III: Convert your answer to degrees and write it to the nearest hundredth of a degree. (4 points)

Answer 12

yes

Answer 13

part I is arc length = radius * central angle

Answer 14

yes (to be mathematically succinct you could probably replace radius with r and central angle with the theta symbol)

Answer 15

so arc length = rθ

Answer 16

(make sure to specify θ must be in radians)

Answer 17

okay

Answer 18

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Vocaloid
then, for part III, remember our conversion from earlier, radians to degrees you would multiply by (180/pi)

so 15/(2pi) * (180/pi)

then round to the nearest 2 decimal places
\(\color{#0cbb34}{\text{End of Quote}}\)

anyway for part III it would just be these steps

Answer 19

1350/pi^2

Answer 20

good but they want it to 2 decimal places, so 1350/pi^2 as a decimal would be 136.78 = your ans