A merry-go-round has a circular platform with a diameter of 8 feet. What is the platform's area?
Question
A merry-go-round has a circular platform with a diameter of 8 feet. What is the platform's area?
Solution
To find the area of a circle, we use the formula: Area = πr², where r is the radius of the circle.
Step 1: Find the radius. The diameter of the circle is 8 feet, so the radius (which is half the diameter) is 4 feet.
Step 2: Substitute the radius into the formula. Area = π(4 feet)².
Step 3: Calculate the area. Area = π(16 square feet) = 50.27 square feet.
So, the area of the platform is approximately 50.27 square feet.
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