When would the vertex of an angle have the same coordinates after a rotation?

To have the same coordinates after a rotation, the degrees of the rotation would be 360.

Step-by-step explanation:

When a point (x,y) is rotated about the origin (0,0) counterclockwise by an angle θ, the coordinates of the new point (x′,y′) are :

x′=xcos(θ)−ysin(θ),

y’=xsin(θ)+ycos(θ).

To have the same coordinates after a rotation, the degrees of the rotation would be 360.

it is not that hard all u have to do is plot the graph

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