What is the measure of each exterior angle of a regular octagon is the measure of each exterior angle of a regular hexagon. a- greater thanb- less thanc- equal to

E = 360/n

is the formula to use when computing the exterior angle E for any regular polygon with n sides. For an octagon, we have 8 sides meaning n = 8 leads to

E = 360/n = 360/8 = 45

The exterior angle of a regular octagon is 45 degrees

Repeat for n = 6 (hexagon) to get E = 360/n = 360/6 = 60. A regular hexagon has exterior angles of 60 degrees each.

We see that the regular octagon's exterior angles (45) are smaller than the regular hexagon's exterior angles (60)

less than (choice B)

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step-by-step explanation:

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm