Find the circumference and the area of a circle with diameter 5yd.Use the value 3.14 for π, and do not round your answers. Be sure to include the correct units in your answers.5yd
Question
Find the circumference and the area of a circle with diameter 5yd.Use the value 3.14 for π, and do not round your answers. Be sure to include the correct units in your answers.5yd
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 5 yards, the radius (r) would be half of the diameter, which is 2.5 yards.
- To find the circumference, we substitute the given diameter into the formula:
Circumference = πd = 3.14 * 5 = 15.7 yards
- To find the area, we substitute the calculated radius into the formula:
Area = πr² = 3.14 * (2.5)² = 3.14 * 6.25 = 19.625 square yards
So, the circumference of the circle is 15.7 yards and the area of the circle is 19.625 square yards.
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