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Sagot :
Sure! Let's go through the steps to solve this problem:
1. Understanding the formula for the circumference of a circle: The circumference (C) of a circle is given by the formula:
[tex]\[ C = \pi d \][/tex]
where [tex]\( d \)[/tex] is the diameter of the circle and [tex]\( \pi \)[/tex] (pi) is approximately 3.14159.
2. Rearranging the formula to solve for the diameter (d): We need to isolate [tex]\( d \)[/tex]. So, the formula can be rearranged as:
[tex]\[ d = \frac{C}{\pi} \][/tex]
3. Substituting the given circumference into the formula: The problem states that the circumference of the circle is approximately 44 inches. Therefore,
[tex]\[ d = \frac{44}{\pi} \][/tex]
4. Calculating the diameter: Evaluating this expression yields the value for the diameter. When you divide 44 by π (approximately 3.14159), you get:
[tex]\[ d \approx 14.01 \text{ inches} \][/tex]
So, the approximate length of the diameter [tex]\( d \)[/tex] is around 14 inches.
From the given options, the closest match is:
- 7 in.
- 14 in.
- 22 in.
- 44 in.
The correct answer is 14 in.
1. Understanding the formula for the circumference of a circle: The circumference (C) of a circle is given by the formula:
[tex]\[ C = \pi d \][/tex]
where [tex]\( d \)[/tex] is the diameter of the circle and [tex]\( \pi \)[/tex] (pi) is approximately 3.14159.
2. Rearranging the formula to solve for the diameter (d): We need to isolate [tex]\( d \)[/tex]. So, the formula can be rearranged as:
[tex]\[ d = \frac{C}{\pi} \][/tex]
3. Substituting the given circumference into the formula: The problem states that the circumference of the circle is approximately 44 inches. Therefore,
[tex]\[ d = \frac{44}{\pi} \][/tex]
4. Calculating the diameter: Evaluating this expression yields the value for the diameter. When you divide 44 by π (approximately 3.14159), you get:
[tex]\[ d \approx 14.01 \text{ inches} \][/tex]
So, the approximate length of the diameter [tex]\( d \)[/tex] is around 14 inches.
From the given options, the closest match is:
- 7 in.
- 14 in.
- 22 in.
- 44 in.
The correct answer is 14 in.
It is B because the circumference of a circle can be calculated using the formula , where is the circumference and is the diameter.
Given that the circumference is approximately 44 inches, we can set up the equation to solve for the diameter.
To isolate , we divide both sides of the equation by (approximately 3.14), which gives us .
Given that the circumference is approximately 44 inches, we can set up the equation to solve for the diameter.
To isolate , we divide both sides of the equation by (approximately 3.14), which gives us .
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