Radius of a Circle?

2 ⤊

Find the radious of a circle which a 62.8 degree central angle cuts of an arc length of 18.4 centimeters

2006-11-19 08:20:25 · 3 answers · asked by Levi M 1 in Science & Mathematics ➔ Astronomy & Space

3 answers

I think the best way of doing this is to set up a ratio to find the circumference i.e. 62.8/360=18.4/C, solve for C, the circumference of the circle, then divide by 2pi to get the radius. Very simple if you think about it.

2006-11-19 08:26:12 · answer #1 · answered by Sciencenut 7 · 2⤊ 0⤋

arc_length = (radius)*(angle in radians)

To change the angle to radians => 62.8* (Pi/180) = 1.0961 rads

r = (18.4 cm)/(1.0961 rads) = 16.787 cm

Hope it helps!

2006-11-20 01:06:21 · answer #2 · answered by Orion 1 · 0⤊ 0⤋

16 .787 cm

2006-11-19 23:07:15 · answer #3 · answered by Keith P 7 · 0⤊ 0⤋