What is the arc measure of an arc with length 4.189 cm and radius equal to 3 cm.

A.

480°

B.

53°

C.

82°

D.

80°

Question

What is the arc measure of an arc with length 4.189 cm and radius equal to 3 cm.
 





A.

480°





B.

53°





C.

82°





D.

80°

anonymous · Answer

@Luis_Rivera

lovelycharm · Answer

L = r* theta where theta = arc measure theta = L / r = 4.189 / 3 radians multiply this by 180/pi gives the arc measure in degrees this comes to 80 degrres D

anonymous · Answer

$$\frac{ \angle measure }{ 360 } = \frac{ arc length }{ circumference }$$and your circumference is:

(2)(radius)(pi)

anonymous · Answer

Rearranging and simplifying:$$\angle measure = \frac{ arclength \times 360 }{ 2 \times radius \times pi }$$

anonymous · Answer

You have arclength and radius, and you can use 3.14 for pi.  At this point, it's just simple arithmetic.

anonymous · Answer

All good now, @katlin95 ?

anonymous · Answer

I got 80 as an answer:)

anonymous · Answer

You are right!  Good job!

anonymous · Answer

Good luck to you in all of your studies and thx for the recognition! @katlin95