Find the circumference and the area of a circle with diameter 8ft.Use the value 3.14 for π, and do not round your answers. Be sure to include the correct units in your answers.8ft
Question
Find the circumference and the area of a circle with diameter 8ft.Use the value 3.14 for π, and do not round your answers. Be sure to include the correct units in your answers.8ft
Solution
To find the circumference and the area of a circle, we use the formulas:
Circumference = πd Area = πr²
Given that the diameter (d) is 8ft, the radius (r) would be half of the diameter, which is 4ft.
- To find the circumference, we substitute the given diameter into the formula:
Circumference = πd = 3.14 * 8ft = 25.12ft
- To find the area, we substitute the calculated radius into the formula:
Area = πr² = 3.14 * (4ft)² = 3.14 * 16ft² = 50.24ft²
So, the circumference of the circle is 25.12ft and the area of the circle is 50.24ft².
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