Compare Perimeter and Circumference: Rectangle 10x2 vs Square 4x4 vs Triangle vs Circle

Question

Look at the four figures below.

Which one has the largest perimeter/circumference?

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Video Solution

Solution Steps

00:05 Which shape has the largest perimeter?
00:08 Let's calculate the perimeter of the square.
00:12 The square's perimeter is 4 times the side length.
00:17 We'll use the given side length to find the perimeter.
00:21 And that's the perimeter of the square.
00:23 Now, let's find the perimeter of the rectangle.
00:26 We have the lengths of the rectangle's sides.
00:30 The perimeter is twice the sum of these side lengths.
00:34 Let's substitute the values to find the perimeter.
00:38 And this is the perimeter of the rectangle.
00:41 Next, we'll calculate the circle's perimeter.
00:45 We have the diameter size from the data.
00:48 Using the formula for circumference, let's calculate.
00:52 Substitute the diameter to find the circle's perimeter.
00:56 And this is the circle's perimeter.
01:04 Let's now calculate the trapezoid's perimeter.
01:08 The trapezoid's perimeter is the sum of all its sides.
01:12 And here's the perimeter of the trapezoid.
01:20 And that's the solution to our question. Great job!

Answer

The circle