What is the radius of a circl that as an arc witha measure of 100 degrees and an arc length of 55 pi cm?

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What is the radius of a circl that as an arc witha measure of 100 degrees and an arc length of 55 pi cm?

Please explain because I don't get it!!!

2007-02-25 04:52:57 · 3 answers · asked by xoqtpie18ox 4 in Science & Mathematics ➔ Mathematics

3 answers

arc = angle/360 * 2pi*r

now just plug them in

55pi = 100/360 * 2pi*r

198pi = 2pi*r

r = 99cm

2007-02-25 05:00:50 · answer #1 · answered by 7 · 2⤊ 0⤋

the arc length is 100/360 if the total circumfrence which is pi times diameter if you divide 55 pi by (100/360) that'll give you the total circumfrence=198 pi, that makes the diameter 198, so the radius is 99cm

2007-02-25 04:59:40 · answer #2 · answered by adriantheace 4 · 1⤊ 0⤋

s = r * alpha * pi/180

55pi = r * 100pi/180
55pi = r * (5pi/9)
r = 99cm

2007-02-25 06:51:06 · answer #3 · answered by Sherman81 6 · 0⤊ 0⤋