Circumference: Identify the greater value

To solve this problem, we'll follow these steps:

• Step 1: Identify the given information.
• Step 2: Use formulas to find the perimeter and the circumference.
• Step 3: Compare the calculated values.

Let's perform these steps:

Step 1: The given information includes:

• Radius of the circle: $r = 4$ cm
• Side length of the square: $s = 8$ cm

Step 2: Calculate the perimeter of the square using the formula $P = 4s$:

$P = 4 \times 8 = 32 \text{ cm}$

Calculate the circumference of the circle using the formula $C = 2\pi r$:

$C = 2 \times 3.14 \times 4 = 25.12 \text{ cm}$

Step 3: Compare the results:
We have $P = 32 \text{ cm}$ for the square and $C = 25.12 \text{ cm}$ for the circle.

Therefore, the square has a greater perimeter.

To solve this problem, we need to find the circumference of the circle and the perimeter of the square, and then compare the two.

• Step 1: Calculate the circumference of the circle
• Step 2: Calculate the perimeter of the square
• Step 3: Compare the results

Let's execute each step:

Step 1: Calculate the circle's circumference.
Given that the diameter $d = 8$ cm, we use the formula for circumference:
$C = \pi d = \pi \times 8$

Assuming $\pi \approx 3.14$, the circumference is:
$C = 3.14 \times 8 = 25.12 \, \text{cm}$

Step 2: Calculate the square's perimeter.
Given that the side length $s = 6.28$ cm, we use the formula for perimeter:
$P = 4s = 4 \times 6.28$

Calculate the perimeter:
$P = 4 \times 6.28 = 25.12 \, \text{cm}$

Step 3: Compare the results.
Both the circle's circumference and the square's perimeter are $25.12 \, \text{cm}$.

Therefore, the solution to the problem is Same circumference.

To solve this problem, we'll compare the circumference of a circle with a given diameter to the perimeter of a square with a given side length.

• Step 1: Calculate the circumference of the circle.
• Step 2: Calculate the perimeter of the square.
• Step 3: Compare the two results.

Let's work through these steps:

Step 1:
The formula for the circumference of a circle is $C = \pi \times d$. Given that the diameter $d = 10$ cm, we substitute to find the circumference:

$C = \pi \times 10 \approx 3.14159 \times 10 = 31.4159$ cm.

Step 2:
The formula for the perimeter of a square is $P = 4 \times \text{side length}$. With a side length of 10 cm, we compute the perimeter:

$P = 4 \times 10 = 40$ cm.

Step 3:
Now, compare the results:

- Circumference of the circle: 31.4159 cm
- Perimeter of the square: 40 cm

Since 40 cm (square) is much larger than 31.4159 cm (circle), we conclude that the square has a larger perimeter than the circle has circumference.

Therefore, the correct answer is the square.

To determine which shape has the greater perimeter or circumference, we begin by calculating each as follows.

Step 1: Calculate the circumference of the circle.
The formula for the circumference $C$ of a circle is $C = 2\pi r$.
Given the radius $r = 3$ cm, we have:

$C = 2\pi \times 3 = 6\pi \, \text{cm}$

Step 2: Calculate the perimeter of the rectangle.
The formula for the perimeter $P$ of a rectangle is $P = 2(l + w)$, where $l$ is the length and $w$ is the width.
Given the dimensions $l = 7$ cm and $w = 3$ cm, we have:

$P = 2(7 + 3) = 2 \times 10 = 20 \, \text{cm}$

Step 3: Compare the circumference and the perimeter.
The calculated circumference of the circle is $6\pi \approx 18.85 \, \text{cm}$ (using $\pi \approx 3.1416$).
The perimeter of the rectangle is $20 \, \text{cm}$.

Since $20 \, \text{cm} > 6\pi \, \text{cm} \approx 18.85 \, \text{cm}$, the rectangle has a greater perimeter than the circumference of the circle.

Therefore, the shape with the greater perimeter/circumference is the rectangle.

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 $C = \pi \times d$,

$C_A = \pi \times 8 = 8\pi$ cm.

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

Using the same formula $C = \pi \times d$,

$C_B = \pi \times 2 = 2\pi$ cm.

Step 3: Compare the circumferences:

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

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

To solve the problem of determining which shape has a larger perimeter or circumference, let's apply the necessary formulas:

The given information is as follows:

• Radius of the circle: $r = 3 \, \text{cm}$
• Side length of the square: $s = 7 \, \text{cm}$

Step 1: Calculate the circumference of the circle

The formula for the circumference of a circle is $C = 2 \pi r$. Thus, substituting the given radius, we get:

$C = 2 \pi (3) = 6 \pi$

Using an approximation for $\pi \approx 3.14159$, the circumference is:

$C \approx 6 \times 3.14159 \approx 18.84954 \, \text{cm}$

Step 2: Calculate the perimeter of the square

The formula for the perimeter of a square is $P = 4s$. Substituting the given side length, we find:

$P = 4 \times 7 = 28 \, \text{cm}$

Step 3: Compare the perimeter of the square and the circumference of the circle

The calculated circumference of the circle is approximately $18.85 \, \text{cm}$, and the perimeter of the square is $28 \, \text{cm}$.

Upon comparison, $28 \, \text{cm}$ (perimeter of the square) is greater than $18.85 \, \text{cm}$ (circumference of the circle).

Therefore, the shape with the larger perimeter/circumference is the square.

To solve this problem, we'll first calculate the circumference of the circle and then consider the implications for calculating the perimeter of the rectangle:

The formula to calculate the circumference of a circle is:

$C = 2\pi r$

where $r$ is the radius. Given $r = 5$ cm, the circumference of the circle is:

$C = 2\pi \times 5 = 10\pi$ cm

For the rectangle, we need both the lengths to determine its perimeter. Since only one side length of 5 cm is provided and the other is not given or inferable, we cannot determine the rectangle's perimeter precisely.

Therefore, without the missing side length of the rectangle, it is impossible to make a comparison between the two perimeters definitively.

Thus, the correct choice is: Impossible to know.

To solve this problem, we need to calculate the perimeters and circumference of the provided figures:

• **Perimeter of the Rectangle**: Given length $l = 10$ and width $w = 2$. $P_{\text{rectangle}} = 2(l + w) = 2(10 + 2) = 2 \times 12 = 24 \text{ units}$
• **Perimeter of the Square**: Each side $s = 4$. $P_{\text{square}} = 4 \times s = 4 \times 4 = 16 \text{ units}$
• **Perimeter of the Trapezoid**: Bases are 7 and 4, sides are both 5. $P_{\text{trapezoid}} = 7 + 4 + 5 + 5 = 21 \text{ units}$
• **Circumference of the Circle**: Diameter $d = 14$, so radius $r = \frac{d}{2} = 7$. $C_{\text{circle}} = 2\pi r = 2\pi \times 7 = 14\pi \approx 43.98 \text{ units}$

Now, comparing the values: - Rectangle: 24 units - Square: 16 units - Trapezoid: 21 units - Circle: approximately 43.98 units

Therefore, the circle has the largest perimeter or circumference.

The correct answer is $\text{The circle}$.

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 $c$:

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

The perimeter $P$ of the triangle is:

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

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

$C = 2 \pi r$

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

$C = 2 \pi \times 6 \approx 37.7$

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

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

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.