2006-10-12 15:15:37 · 3 answers · asked by desiladki 3 in Education & Reference ➔ Homework Help
the * after 144 stands for degrees
2006-10-12 15:16:43 · update #1
The formula required is this:
(2*pi*r)*144/360
( * means 'multiply')
Explanation: 2*pi*r is the formula to find the circumference of any circle. In this case your 'r' (radius) is 10.
You then need to find the length of 144 degrees of the 360 degree circle.
So, without giving you the answer, work out: 2*pi*10 first.
Then multiply this by 144. Then divide the answer by 360.
footnote: It has nothing to do with radians which are a different way of measuring angles instead of using the familiar '360 degrees' in a circle.
2006-10-12 15:41:07 · answer #1 · answered by Anonymous · 0⤊ 0⤋
You don't need to convert to radians at all. You do, however, need to know that 144 degrees is 144/360 or .4 of the whole circle. You then find the circumference C = 2*pi*r of the circle, which is 20pi or about 62.8. The length of this arc is .4 * the circumference, or 8pi or about 25.12 inches.
2006-10-12 22:21:59 · answer #2 · answered by dmb 5 · 0⤊ 1⤋
first you have to convert degrees to radians.
(144degrees)/(180/pi)=Theta, in radians.
the arc length is then equal to Theta*Radius.
I hope this helps
2006-10-12 22:16:56 · answer #3 · answered by Patrick Fisher 3 · 0⤊ 1⤋