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Find the circumference of the circle in terms of \( \pi \) and rounded to the nearest tenth.
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Calculate the radius
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The radius \( r \) is half of the diameter. Given \( d = 22 \, \text{yd} \), \( r = \frac{22}{2} = 11 \, \text{yd} \).
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Calculate the circumference
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The circumference \( C \) is \( \pi d \). Thus, \( C = \pi \times 22 = 22\pi \, \text{yd} \).
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Round the circumference
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Using \( \pi \approx 3.14159 \), \( C \approx 22 \times 3.14159 = 69.11598 \, \text{yd} \). Rounding to the nearest tenth, \( C \approx 69.1 \, \text{yd} \).
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The circumference is \( 22\pi \, \text{yd} \) and approximately \( 69.1 \, \text{yd} \).
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Find the area of the circle in terms of \( \pi \) and rounded to the nearest tenth.
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Calculate the area
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The area \( A \) is \( \pi r^2 \). Thus, \( A = \pi \times 11^2 = 121\pi \, \text{yd}^2 \).
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Round the area
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Using \( \pi \approx 3.14159 \), \( A \approx 121 \times 3.14159 = 380.13239 \, \text{yd}^2 \). Rounding to the nearest tenth, \( A \approx 380.1 \, \text{yd}^2 \).
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The area is \( 121\pi \, \text{yd}^2 \) and approximately \( 380.1 \, \text{yd}^2 \).
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The circumference of the circle in terms of $\pi$ is $22\pi$ yd.
The circumference of the circle rounded to the nearest tenth is $69.1$ yd.
The area of the circle in terms of $\pi$ is $121\pi$ yd$^2$.
The area of the circle rounded to the nearest tenth is $380.1$ yd$^2$.
Answered
