Posted by **jake** on Sunday, March 6, 2011 at 6:04pm.

Circle O above has a circumference of 240 cm and arc XW has a length of 60 cm. What is the measure of the central angle associated with arc XW?

- geometry -
**jai**, Sunday, March 6, 2011 at 8:53pm
first we get the ratio of the arclength to circumference:

60 cm / 240 cm = 1/4

since the arc covers 1/4 of the circumference, it also means that it forms 1/4 of the total angle of a circle.

angle of a circle is 360 degrees, thus central angle associated by XW is:

(1/4)*360 = 90 degrees

hope this helps~ :)

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