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A circle has a diameter of 4 inches. Which statement about the area and circumference of the circle is true?
OA comparison of the area and circumference of the circle is not possible because there is not enough informatio
find both.
O The numerical values of the circumference and area are equal.
The numerical value of the circumference is greater than the numerical value of the area.
O The numerical value of the circumference is less than the numerical value of the area.

Sagot :

GinnyAnsweridn
Let's solve this problem step-by-step.

1. Given Information:
The diameter of the circle is 4 inches.

2. Calculate the Radius:
- The radius of a circle is half of the diameter.
- Radius = Diameter / 2 = 4 inches / 2 = 2 inches.

3. Calculate the Circumference:
- The formula for the circumference of a circle is [tex]\( C = 2 \pi r \)[/tex], where [tex]\( r \)[/tex] is the radius.
- Using the radius we found, the circumference [tex]\( C \)[/tex] is:
[tex]\[ C = 2 \times \pi \times 2 = 4 \pi \approx 12.566 \][/tex]

4. Calculate the Area:
- The formula for the area of a circle is [tex]\( A = \pi r^2 \)[/tex].
- Using the radius we found, the area [tex]\( A \)[/tex] is:
[tex]\[ A = \pi \times (2^2) = \pi \times 4 \approx 12.566 \][/tex]

5. Compare the Numerical Values:
- The calculated numerical value of the circumference is approximately 12.566.
- The calculated numerical value of the area is also approximately 12.566.

Therefore, the numerical values of the circumference and area are equal.

Conclusion:

The correct statement is:
- The numerical values of the circumference and area are equal.

So, the answer is:
- The numerical values of the circumference and area are equal.
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