Compare Circumferences: Circle A (8cm) vs Circle B (2cm) Diameter Problem

The diameter of circle A is 8 centimeters.

The diameter of circle B is 2 centimeters.

Which circle has a larger circumference?

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Step-by-step video solution

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00:09 Which shape has a bigger perimeter?
00:12 Let's find the circle's perimeter using its diameter.
00:16 First, we'll use the perimeter formula for a circle.
00:27 Next, plug the circle's diameter into the formula and calculate.
00:32 And there you have it, this is the circle's perimeter.
00:35 Now, let's look at the second circle's diameter.
00:40 We'll use the same method to find this perimeter too.
00:46 Again, enter the diameter into the formula and solve.
00:53 Here you go, this is the perimeter for the second circle.
01:01 That's how you find which circle has a larger perimeter.

Step-by-step written solution

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1

Understand the problem

The diameter of circle A is 8 centimeters.

The diameter of circle B is 2 centimeters.

Which circle has a larger circumference?

2

Step-by-step solution

Let's solve the problem step-by-step:

  • Step 1: Calculate the circumference of circle A.
  • Step 2: Calculate the circumference of circle B.
  • Step 3: Compare the circumferences to determine which is larger.

Now, let's calculate each one:

Step 1: The circumference of circle A is calculated as follows:

Using the formula C=π×d C = \pi \times d ,

CA=π×8=8π C_A = \pi \times 8 = 8\pi cm.

Step 2: The circumference of circle B is calculated in the same manner:

Using the same formula C=π×d C = \pi \times d ,

CB=π×2=2π C_B = \pi \times 2 = 2\pi cm.

Step 3: Compare the circumferences:

Since 8π 8\pi cm (Circle A) is clearly greater than 2π 2\pi cm (Circle B), the circle with a larger circumference is Circle A.

Therefore, the circle with a larger circumference is Circle A.

3

Final Answer

Circle A

Practice Quiz

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\( r=2 \)

Calculate the circumference.

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