OKAY! I NEED HELP! Inscribed angles? This problem is horrible!

The radius of this circle is 20 m. Find the length of arc ABC, if B measures 20 degrees.

http://www.atlantic.k12.ia.us/~period3/i…

I know the answer already: 111.64 m. I just don't know how to get that answer.

If the inscribed angle is 20 then the intercepted arc is 40 degrees.
The arc you want then is 360 - 40 or 320 degrees

Thus the arc lenth you are looking for is 320 /360 of the Whole Circle

320 /360 = 32 / 36 = 8 / 9

Find the total Circumference and then find 8/9 of it.

C = 2*pi*r
C = 2*pi*20
C = 40*pi

Arc Length ABC = (8/9)*40*pi

or.......8*40*pi/9

111.7010...........Using the pi key and NOT 3.14

ANSWER......111.7 m..........................111.64 m if you se 3.14 for pi

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if the radius is 20m then you can find the circumference

the circumderence represents 360 degrees, and I believe an inscribed angle = 1/2 the arc angle, so the arc represents 40 degrees

40 / 360 * circumference = length


gl

Length of arc AC = central angle (in radians)*radius.
The central angle is twice angle ABC.