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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

- lalexie

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

- Dirtman
- Expert
**Posts:**574**Joined:**Sat Jan 21, 2006 2:04 pm**Location:**California

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