Question

I award metals!! What is the arc length when Θ = pi over 3 and the radius is 5 cm?

Answer 1

10 pi over 3cm

16 pi over 3cm

pi over 3cm

5 pi over 3cm

Answer 2

\[arc length = r \Theta\]
Where the angle, theta, is in radians.

Answer 3

Can you help explain this though? I have no idea what radians are

Answer 4

like how would I fill in that equation

Answer 5

Radians are a unit of measurement for an angle. They usually include pi.
The angle they give you is in radians, so you can use the formula.

Answer 6

What. p_p Your radius is 5 cm. Your angle is π/3 radians.
\[arc length = r \Theta = (5 cm)(\frac{\pi}{3}) = ?\]

Answer 7

so it would be like 5*1.04 since pi over 3 is rounded to 1.04?

Answer 8

You don't need to convert it to decimal form. None of the choices are in decimal form. Use the true value, multiply the ratios.

Answer 9

okay... so would it be the last one?

Answer 10

Mhm.

Answer 11

yay! Okay! Thanks so much!!

Answer 12

There's your medal :)

Answer 13

Thanks for the medal @iPwnBunnies! Can I ask you for your help on another one?

Answer 14

Sure.

Answer 15

Thank you!!

The function f(t) = 3 cos(pi over 6t) + 5 represents the tide in Blastic Sea. It has a maximum of 8 feet when time (t) is 0 and a minimum of 2 feet. The sea repeats this cycle every 12 hours. After nine hours, how high is the tide?

Answer 16

12 feet

5 feet

4.5 feet

2.5 feet

Answer 17

How do I do this one?