Solomon needs to justify the formula for the arc length of a sector. Which expression best completes this argument?
The circumference of a circle is given by the formula C = pie d, where d is the
diameter.
• Because the diameter is twice the radius, C = 297.
• If equally sized central angles, each with a measure of nº, are drawn, the
360°
number of sectors that are formed will be equal to
• The arc length of each sector is the circumference divided by the number of
sectors, or 2017
360
n
• Therefore, the arc length of a sector of a circle with a central angle of nºis
given by, or
180
TM