Compare Perimeter: Circle (r=3cm) vs Square (side=7cm)

Question

The radius of a circle is 3 centimeters.

The length of the side of a square is 7 centimeters.

Which shape has a larger perimeter/circumference?

Video Solution

Solution Steps

00:00 Which shape has a smaller perimeter?
00:03 Let's calculate the circle's perimeter
00:07 The circle's radius according to the given data
00:10 We'll use the formula for calculating circle perimeter
00:15 We'll substitute the circle's radius according to the given data and solve for the perimeter
00:28 Let's substitute the value of pi
00:39 This is the circle's perimeter
00:44 Now let's calculate the square's perimeter
00:48 The length of the square's side
00:52 The square's perimeter equals 4 times the square's side
00:59 Let's substitute the side value and find the square's perimeter
01:12 This is the square's perimeter
01:19 And this is the solution to the question

Answer

The circle