What is the measure of arc ABC in centimeters?

Question

anonymous · Answer

attachment

paxpolaris · Answer

there are 360 degrees in a circle...

anonymous · Answer

yeess?

paxpolaris · Answer

$$\large{\angle\ of\ arc \over \angle\ of\ circle} = {length\ of\ arc \over length\ of\ circle}$$

anonymous · Answer

45/360?

paxpolaris · Answer

by length of circle ... I mean circumference

anonymous · Answer

45/400?

paxpolaris · Answer

$${45 \over 360}= {x \over 400}$$

anonymous · Answer

im getting 0.0003125

paxpolaris · Answer

∠ of arc = 45 deg
∠ of circle = 360 deg

length of arc = x ... you want to find 
length of circle= circumference  = 400 cm

anonymous · Answer

trigonometric problem. .

here let me give you a hint. . 
                  central angle= arc length X radius

anonymous · Answer

im still not getting the calculation

anonymous · Answer

the choices are
a 30
b 40
c 45
d 50

anonymous · Answer

since the question is to find the measure of the arc length, manipulate the formula i gace to you.

use this.   arc length=  central angle/ radius  ; where the central angle is expressed in radian form. .

paxpolaris · Answer

$${45 \over 360}= {x \over 400} $$$$\Large \implies x={ 45 \times 400 \over 360}$$

anonymous · Answer

so 50?

paxpolaris · Answer

yes

anonymous · Answer

thank you!

paxpolaris · Answer

You should understand this relationship between the degree measure of arc & length of arc