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.
