measure of central angle in circle-graph wedge marked "28%"

DropkickDisco said:
1. A circle graph has a section marked "Potatoes: 28%." What is the measure of the central angle of this section?
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What is 28% of 360?

DropkickDisco said:
2) Let SX be a diameter of a circle centered at O, with OW perpendicular to SX, |OW| = 27 inches. Let Y be on the circle, between W and X, with the measure of angle YOX being 60 degrees.

Find the measure of arc YW.
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What is the measure of angle WOS? So what is the measure of angle WOX?

What is the measure of angle YOX? So what is the measure of angle WOY?

What then is the central angle for arc YW?

What is the radius of the circle?

What is the formula for the arc length "s" of an arc with radius "r" and central angle "\(\displaystyle \theta\)"?

So what is the measure of arc YW?

DropkickDisco said:
Find the measure of arc WXS.
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This one works similarly to the previous one. :wink:

If you get stuck, please reply with a clear listing of your work and reasoning, showing how far you have gotten. Thank you! :D

Eliz.
 
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