Find the length of arc subtended by a central angle of 50 degrees on a circle of radius 4 feet

Question

Express in decimal form to one place

Answer 1

When the central angle is given in degrees, the formula for the arc length is:

 

s = r·θ·pi/180

 

where:

• s = the arc length
• r = radius = 4 feet
• θ = the central angle in degrees = 50°
• pi = 3.14

 

     s = (4·50·3.14)/180 = ____? 

 

Remember to round to one decimal place.

 

 

Answer 2

L=(q/180)(∏)(r)

L=50/180)(∏)(4)

L=(5/18)(∏)(4)

L=(20/18)(∏)

L=(10/9)(∏)

L=(10/9)(3.14159)

L=31.4159/9

L=3.490655 feet L=3.5 feet