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Answer :
To find the area of a circular mirror with a radius of 10 cm, we use the formula for the area of a circle:
[tex]\[ \text{Area} = \pi r^2 \][/tex]
where:
- [tex]\(\pi\)[/tex] (pi) is approximately 3.14159
- [tex]\(r\)[/tex] is the radius of the circle
Given:
- Radius ([tex]\(r\)[/tex]) = 10 cm
Let's plug in the values into the formula:
[tex]\[ \text{Area} = \pi \times (10 \, \text{cm})^2 \][/tex]
[tex]\[ \text{Area} = \pi \times 100 \, \text{cm}^2 \][/tex]
[tex]\[ \text{Area} \approx 3.14159 \times 100 \, \text{cm}^2 \][/tex]
[tex]\[ \text{Area} \approx 314.159 \, \text{cm}^2 \][/tex]
Rounding to one decimal place, we get:
[tex]\[ \text{Area} \approx 314.2 \, \text{cm}^2 \][/tex]
So, the area of the circular mirror is approximately [tex]\(314.2 \, \text{cm}^2\)[/tex].
Therefore, the correct answer is:
D. [tex]\(314.2 \, \text{cm}^2\)[/tex]
[tex]\[ \text{Area} = \pi r^2 \][/tex]
where:
- [tex]\(\pi\)[/tex] (pi) is approximately 3.14159
- [tex]\(r\)[/tex] is the radius of the circle
Given:
- Radius ([tex]\(r\)[/tex]) = 10 cm
Let's plug in the values into the formula:
[tex]\[ \text{Area} = \pi \times (10 \, \text{cm})^2 \][/tex]
[tex]\[ \text{Area} = \pi \times 100 \, \text{cm}^2 \][/tex]
[tex]\[ \text{Area} \approx 3.14159 \times 100 \, \text{cm}^2 \][/tex]
[tex]\[ \text{Area} \approx 314.159 \, \text{cm}^2 \][/tex]
Rounding to one decimal place, we get:
[tex]\[ \text{Area} \approx 314.2 \, \text{cm}^2 \][/tex]
So, the area of the circular mirror is approximately [tex]\(314.2 \, \text{cm}^2\)[/tex].
Therefore, the correct answer is:
D. [tex]\(314.2 \, \text{cm}^2\)[/tex]
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