lalexie wrote:the central angle of a circle is 157.5 degrees. how would you find the mesurement of the arc in inches. the radius is 8ft
I would simplify the radius first, so: radius of 8 ft * 12 in/ft = radius of 96 inches
Using degrees:
s = (Ï€/180) * Î˜ * r
where:
s = arc length
Ï€ = PI = 3.14159265
Î˜ = central angle (in degrees)
r = radius
calculating the formula to completion:
s = (Ï€/180) * Î˜ * r,
s = 0.01745329 * 157.5Âº * 96,
s = 263.89 inches