A cruise ship has a large, circular window. It has a diameter of 13 m. What is the window's area? (Take π = 3.14 and round your answer to the nearest tenth.)Question 2Select one:a.132.7 m2b.130.9 m2c.131.7 m2d.530.7 m2
Question
A cruise ship has a large, circular window. It has a diameter of 13 m. What is the window's area? (Take π = 3.14 and round your answer to the nearest tenth.)Question 2Select one:a.132.7 m2b.130.9 m2c.131.7 m2d.530.7 m2
Solution
To find the area of a circle, we use the formula: Area = π * (d/2)^2, where d is the diameter of the circle.
Step 1: Divide the diameter by 2 to find the radius. The diameter is 13 m, so the radius is 13/2 = 6.5 m.
Step 2: Square the radius. (6.5 m)^2 = 42.25 m^2.
Step 3: Multiply the squared radius by π. Area = 3.14 * 42.25 m^2 = 132.665 m^2.
Rounding to the nearest tenth, the area of the window is approximately 132.7 m^2. So, the correct answer is a. 132.7 m^2.
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