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Question

The perimeter of a square with side length  units is equal to the circumference of a circle with radius 2 units. What is the value of ? Express your answer as a decimal to the nearest hundredth.

Answer 1

C = 2πr

C = 2π2

C = 4π

C = 12.56637

x = 12.57

Answer 2

Hello Abby. It is first most important to know the circumference formula. This is Pi times radius squared. Since the radius is 2, square the two. Multiply by Pi which is 3.14 and you have the circumference. Since a regular square has four equal sides divide the answer for the circumference by four to solve for x. Round to the nearest hundredth since we are only using two significant figures for Pi