Find the circumference and the area of a circle with diameter 3ft.Use the value 3.14 for π, and do not round your answers. Be sure to include the correct units in your answers.3ftCircumference:Area:
Question
Find the circumference and the area of a circle with diameter 3ft.Use the value 3.14 for π, and do not round your answers. Be sure to include the correct units in your answers.3ftCircumference:Area:
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 3ft, the radius (r) would be half of the diameter, which is 1.5ft.
- To find the circumference, we substitute the given diameter into the formula:
Circumference = πd = 3.14 * 3ft = 9.42ft
- To find the area, we substitute the calculated radius into the formula:
Area = πr² = 3.14 * (1.5ft)² = 3.14 * 2.25ft² = 7.065ft²
So, the circumference of the circle is 9.42ft and the area of the circle is 7.065ft².
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