Question

help

Answer 1

A square and a semicircular region have the same perimeter. If the length of the radius of the semicircular region is 16, what is the length of one side of the square?

Answer 2

@jdoe0001

Answer 3

If the square and the semicircular region have the same perimeter, it means that the square's perimeter and the semicircle's circumference equal each other. So first, make a set of functions that equal each other. I would have...

P = s^2 [for the square]
C = (1/2)(2πr) = πr [for the semicircle]

Now set them equal to one another.

P = C
s^2 = πr

Since you know the value for r, simply plug it in to solve for the length of one side of the square: s.

s^2 = π(16)

Solve for s.

Answer 4

7.08 @AakashSudhakar

Answer 5

@timo86m