My number is a perfect square.the only prime factorization is 2.my number is a factor of 32.the sum of its difits is is my number?

List out all of the factors to 32.
1, 2, 4, 8, 16, 32

From the list, we either have 4 or 16 as our number.
Prime factorisation for 4 is 2 x 2 and prime factorisation for 16 is 2 x 2 x 2 x 2
Thus, that doesn't help our case.

Looking at our requirement: the sum of its digits is odd.
Well, 4 can be rewritten as 0 4 and its sum is even.
The sum for 1 + 6 is obviously odd, which means that 16 is the number.

The length of the arc between consecutive vertices is:

Step-by-step explanation:

The angle between consecutive vertices is 60°, it is because it forms an equilateral triangle.

Now, the length arc is defined as:

Where:

R is the radius (R = 8 in)θ is the angle of the arc

We see the angle is in grades, but we need to convert it to radians.

Finally, the length of the arc between consecutive vertices will be:

 

I hope it helps you!