Answer:
where
denote arc lengths of two circles
Step-by-step explanation:
Let denote arc lengths of two circles,
denote corresponding radii and
denote the corresponding central angles.
So,
and
This implies and
As each circle has an arc where the measures of the corresponding central angles are the same,
As radius of one circle is twice the radius of the other circle,
Given:
Consider the below figure attached with this question.
To find:
The perimeter of the polygon UVWXYZ.
Solution:
All sides and vertical and horizontal. So, we can easily find the side lengths of the given polygon by counting the boxes between two points.
From the figure it is clear that,
UV = 9 units
VW = 2 units
WX = 3 units
XY = 3 units
YZ = 6 units
ZU = 5 units
Now, perimeter is the sum of all the sides.
Therefore, the perimeter of UVWXYZ is 28 units.
