Compare Circle Circumference vs Square Perimeter: 10cm Shapes

Question

The diameter of a circle is 10 centimeters.

The length of the side of a square is 10 centimeters.

Which shape has a larger perimeter/circumference?

Video Solution

Solution Steps

00:09 Let's find out which shape has a bigger perimeter.
00:13 First, we'll calculate the perimeter of the square.
00:17 Remember, the square's perimeter is the side length times four.
00:22 Plug in the given side length and calculate the perimeter.
00:31 That's the square's perimeter. Now for the circle.
00:35 We know the circle's diameter from the data.
00:40 Let's use the formula for the circle's circumference.
00:46 The formula includes the diameter. Substitute the value in.
00:51 Now, insert pi into the calculation and find the circumference.
01:01 Great! That's the circle's perimeter. Let's compare it with the square's.
01:11 And here's our solution to find which perimeter is larger.

Answer

The square