Circumference: Identify the greater value

Applying the formulaA shape consisting of several shapes (requiring the same formula)Calculate The Missing Side based on the formulaCalculating parts of the circleFinding Area based off Perimeter and Vice VersaIdentifying and defining elementsIncreasing a specific element by addition of.....or multiplication by.......Subtraction or addition to a larger shapeUsing additional geometric shapesUsing Pythagoras' theoremUsing variablesVerifying whether or not the formula is applicableWorded problems
Question 1

Look at the triangle and circle below.

Which has the larger perimeter/circumference?

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Question 2

The diameter of a circle is 20 centimeters.

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

Which shape has a larger perimeter/circumference?

Question 3

A circle has a diameter of 15 cm.

A square has sides measuring 5 cm.

Which shape has a larger perimeter / circumference?

Question 4

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?

Question 5

The radius of a circle is 4 centimeters.

The length of the side of the a is 8 centimeters.

Which shape has a greater perimeter/circumference?

Examples with solutions for Circumference: Identify the greater value

Exercise #1

Look at the triangle and circle below.

Which has the larger perimeter/circumference?

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Video Solution

Step-by-Step Solution

To determine which has the larger measurement, the triangle's perimeter or the circle's circumference, we need to compute both values.

Step 1: Calculate the perimeter of the Triangle
We are given two sides of the triangle: 6 and 5. Since it's implied to be a right triangle, we apply the Pythagorean theorem to find the third side, the hypotenuse c c :

c=62+52=36+25=61 c = \sqrt{6^2 + 5^2} = \sqrt{36 + 25} = \sqrt{61}

The perimeter P P of the triangle is:

P=6+5+61≈11+7.81=18.81 P = 6 + 5 + \sqrt{61} \approx 11 + 7.81 = 18.81

Step 2: Calculate the circumference of the Circle
The circumference C C of a circle with radius r r is given by the formula:

C=2πr C = 2 \pi r

Assuming the radius of the circle is equivalent to the '6' mentioned for the green line in the SVG:

C=2π×6≈37.7 C = 2 \pi \times 6 \approx 37.7

Step 3: Compare the Triangle's Perimeter and the Circle's Circumference
We compare the values:

  • Perimeter of the Triangle: P≈18.81 P \approx 18.81
  • Circumference of the Circle: C≈37.7 C \approx 37.7

The circumference of the circle (37.7) is greater than the perimeter of the triangle (18.81).

Therefore, the circle has the larger measurement.

Conclusion: The circle has the larger perimeter.

Answer

The circle

Exercise #2

The diameter of a circle is 20 centimeters.

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

Which shape has a larger perimeter/circumference?

Video Solution

Answer

The circle

Exercise #3

A circle has a diameter of 15 cm.

A square has sides measuring 5 cm.

Which shape has a larger perimeter / circumference?

Video Solution

Answer

The circle

Exercise #4

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

Answer

The square

Exercise #5

The radius of a circle is 4 centimeters.

The length of the side of the a is 8 centimeters.

Which shape has a greater perimeter/circumference?

Video Solution

Answer

The square

Question 1

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?

Question 2

The radius of a circle is 3 cm.

Dimensions of a rectangle are 7 cm by 3 cm.

Which shape has a greater perimeter/circumference?

Question 3

The radius of a circle is 5 centimeters.

The length of the side of a rectangle is 5 centimeters.

Which shape has a greater perimeter/circumference?

Question 4

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?

Question 5

The diameter of circle A is 8 centimeters.

The diameter of circle B is 2 centimeters.

Which circle has a larger circumference?

Exercise #6

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

Answer

The circle

Exercise #7

The radius of a circle is 3 cm.

Dimensions of a rectangle are 7 cm by 3 cm.

Which shape has a greater perimeter/circumference?

Video Solution

Answer

The rectangle

Exercise #8

The radius of a circle is 5 centimeters.

The length of the side of a rectangle is 5 centimeters.

Which shape has a greater perimeter/circumference?

Video Solution

Answer

Impossible to know

Exercise #9

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

Answer

Same circumference

Exercise #10

The diameter of circle A is 8 centimeters.

The diameter of circle B is 2 centimeters.

Which circle has a larger circumference?

Video Solution

Answer

Circle A

Question 1

The flowers are made of semicircles in elaborate shapes.

Which flower has the larger circumference?

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Question 2

Three birthday party decorations are made from paper cut into equal circles.

Which decoration requires less paper and which requires more paper?

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Question 3

Look at the four figures below.

Which one has the largest perimeter/circumference?

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Exercise #11

The flowers are made of semicircles in elaborate shapes.

Which flower has the larger circumference?

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Video Solution

Answer

Flower B

Exercise #12

Three birthday party decorations are made from paper cut into equal circles.

Which decoration requires less paper and which requires more paper?

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Video Solution

Answer

I = Less, II = more

Exercise #13

Look at the four figures below.

Which one has the largest perimeter/circumference?

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Video Solution

Answer

The circle