Triangle RST and its image, triangle R’S’T’, are graphed on the coordinate grid below. Which rotation, using the origin as the center of rotation, transformed RST to R’S’T’?
A. a 90° clockwise rotation
B. a 90° counterclockwise rotation
C. a 45° clockwise rotation
D. a 45° counterclockwise rotation

B. a 90º counterclockwise rotation

Step-by-step explanation:

You can tell that it moves 90º and it moves in a counterclockwise direction because from RST to R’S’T’ it moves left to right. That is counterclockwise when you look it up.

Hope this helps!!! :

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