Question

The perimeter of a square with side length $x$ units is equal to the circumference of a circle with radius 2 units. What is the value of $x$?

Answer 1

x = π

Explanation:

The circumference of the circle is given by ...

C = 2πr = 2π(2) = 4π

The perimeter of a square of side length x is given by ...

P = 4x

You want the perimeter equal to the circumference, so ...

4π = 4x

π = x . . . . . . . divide by 4

The value of x is π.