Compare Circle (8cm Diameter) vs Square (6.28cm Sides): Perimeter Challenge

Question

The diameter of a circle is 8 centimeters.

The sides of a square are 6.28 centimeters long.

Which shape has the larger circumference or perimeter?

Video Solution

Solution Steps

00:00 Which shape has a larger perimeter?
00:03 Let's calculate the circle's perimeter
00:06 The circle's diameter according to the given data
00:10 We'll use the formula for calculating circle perimeter
00:16 We'll substitute the circle's diameter according to the data and solve for the perimeter
00:25 We'll substitute the value of pi
00:34 This is the circle's perimeter
00:39 Now we want to find the square's perimeter
00:42 The square's side length according to the given data
00:47 The square's perimeter equals 4 times the side length
00:53 We'll substitute the side value and find the square's perimeter
01:02 This is the square's perimeter
01:08 And this is the solution to the question

Answer

Same circumference