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Answer :
To find the area of a circle with a diameter of 42 cm, we need to follow these steps:
1. Find the radius:
The radius is half of the diameter. Since the diameter is 42 cm, the radius is:
[tex]\[
\text{Radius} = \frac{42}{2} = 21 \, \text{cm}
\][/tex]
2. Use the formula for the area of a circle:
The formula to calculate the area of a circle is:
[tex]\[
\text{Area} = \pi \times \text{radius}^2
\][/tex]
Here, we will use [tex]\(\pi \approx 3.14159\)[/tex].
3. Plug the radius into the formula:
[tex]\[
\text{Area} = 3.14159 \times (21^2)
\][/tex]
[tex]\[
\text{Area} = 3.14159 \times 441
\][/tex]
[tex]\[
\text{Area} \approx 1385.44 \, \text{cm}^2
\][/tex]
After performing these calculations, the area of the circle is approximately 1385.44 cm².
Considering the options given in the question, the correct answer is:
c. 1.386 cm² (approximated value matches the actual calculation considering minor rounding differences).
1. Find the radius:
The radius is half of the diameter. Since the diameter is 42 cm, the radius is:
[tex]\[
\text{Radius} = \frac{42}{2} = 21 \, \text{cm}
\][/tex]
2. Use the formula for the area of a circle:
The formula to calculate the area of a circle is:
[tex]\[
\text{Area} = \pi \times \text{radius}^2
\][/tex]
Here, we will use [tex]\(\pi \approx 3.14159\)[/tex].
3. Plug the radius into the formula:
[tex]\[
\text{Area} = 3.14159 \times (21^2)
\][/tex]
[tex]\[
\text{Area} = 3.14159 \times 441
\][/tex]
[tex]\[
\text{Area} \approx 1385.44 \, \text{cm}^2
\][/tex]
After performing these calculations, the area of the circle is approximately 1385.44 cm².
Considering the options given in the question, the correct answer is:
c. 1.386 cm² (approximated value matches the actual calculation considering minor rounding differences).
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