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what is the area of a circle with a radius of 7 cm? (use 3.14 for \\(\\…

Question

what is the area of a circle with a radius of 7 cm? (use 3.14 for \\(\pi\\) and round to the nearest tenth.)

\\(38.5\text{ cm}^2\\)
\\(44.0\text{ cm}^2\\)
\\(150.0\text{ cm}^2\\)
\\(153.9\text{ cm}^2\\)

Explanation:

State the given values and formula

$$ r = 7\text{ cm},\quad \pi \approx 3.14,\quad A = \pi r^2 $$

Calculate the area

$$ A \approx 3.14 \times 7^2 = 3.14 \times 49 = 153.86\text{ cm}^2 $$

Round to the nearest tenth

$$ A \approx 153.9\text{ cm}^2 $$

Answer:

  • (A) \(38.5\text{ cm}^2\)
  • (B) \(44.0\text{ cm}^2\)
  • (C) \(150.0\text{ cm}^2\)
  • (D) \(153.9\text{ cm}^2\) (Correct answer)