Help please....

If the diameter of the circle is 36, what is the length of arc ABC?

A. 8
B. 8pi
C. 28pi
D. 32pi
E. 56pi

Question

Help please....


If the diameter of the circle is 36, what is the length of arc ABC? 

A. 8
B. 8pi
C. 28pi
D. 32pi
E. 56pi

anonymous · Answer

|dw:1442538379561:dw|

johnweldon1993 · Answer

Well remember:

$$\large s = r\theta$$

The arc length is equal to the radius of the circle times the angle given in radians

So first, what is the radius? And what is the angle in radians?

anonymous · Answer

18

anonymous · Answer

what do you mean by the angle in radian?

anonymous · Answer

Can you tell me what they mean when they say "An inscribed angle is aways half the central angel."

johnweldon1993 · Answer

Okay hang on...lets go one by one lol...So first...the "inscribed angle is always half the central angle"

Lets look at a circle

johnweldon1993 · Answer

|dw:1442584881833:dw|

johnweldon1993 · Answer

|dw:1442584923535:dw|

anonymous · Answer

ohhhhh

johnweldon1993 · Answer

The inscribed angle *According to the Cenntal Angle Theorem* is always equal to HALF the central angle

anonymous · Answer

what does that mean?

johnweldon1993 · Answer

SO

If we look again at that formula I gave you

$$\large s = r\theta$$

S = arc length *What we need

r = radius of the circle

$\large \theta$ = the measure of the central angle in radians

anonymous · Answer

i've never seen that 0 thing before.

johnweldon1993 · Answer

$\large \theta$ = theta = a measure of an angle :)

anonymous · Answer

oh ok

johnweldon1993 · Answer

yeah lol sorry :D

Okay so...lets look at your circle

|dw:1442585177036:dw|

johnweldon1993 · Answer

Comparing that to my circle I drew above, it looks like you have the INSCRIBED angle labeled here right?

|dw:1442585225131:dw|