Answer:
See example below.
Step-by-step explanation:
The image of a triangle will be 5/6 the size. It will be slightly smaller than the original. For example, if the side measurement of the triangle on one side is 12 then the image of the triangle after a dilation will be 12*5/6 = 60/6 = 10.
The new side length is 10 slightly smaller than 12.
The number of times the image of the octagon will coincide with the preimage during rotation is determined by:
N = R/C
where
N is the number of times the preimage coincided with the rotated image during rotation
R is the angle of rotation
C is the central angle of the regular polygon
For an octagon, the central angle is
C = 360/8 = 45
So,
N = 360 / 45 = 8
Therefore, the rotated image of the octagon will coincide with the preimage 8 times during rotation.
Answer:
12.42 units
Step by step explanation:
Given,
length of the radius = 2 units
Therefore, arc length of the complete circle = 2 × 3.14 × 2 units = 12.56 units
Therefore, arc length of the partial circle = 3/4 × 12.56 units
= 12.42 units
