find the length of an arc of a circle with radius 6/pi cm that substends a central angle of 99°

Question

radius 6/pi

central angle of 99°

what is the length of the sector?

Answer 1

you asked for the length of the arc; you find the area of a sector

L=(q/180)(∏)(r) is the formula to use

L=(99/180)(∏)(6/∏)

simplify first

L=(11/20)(6)   the ∏'s cancel

L=66/20

L=3.3 cm

Answer 2

Sectors have area, not length.

 

First, calculate circumference of circle which has r = 6/pi using formula C = 2(pi)r.

 

To find arclength of a sector having central angle of 99 degrees, just multiply C by (99/360).