Find the area and the circumference of a circle with diameter 8yd.Use the value 3.14 for π, and do not round your answers. Be sure to include the correct units in your answers.
Question
Find the area and the circumference of a circle with diameter 8yd.Use the value 3.14 for π, and do not round your answers. Be sure to include the correct units in your answers.
Solution
To find the area and the circumference of a circle, we use the formulas:
Area = πr² Circumference = 2πr
where r is the radius of the circle.
Given that the diameter of the circle is 8 yards, the radius would be half of the diameter, which is 4 yards.
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Calculate the area: Substitute r = 4 yards into the area formula: Area = π(4yd)² = 3.14 * 16yd² = 50.24 square yards
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Calculate the circumference: Substitute r = 4 yards into the circumference formula: Circumference = 2π(4yd) = 2 * 3.14 * 4yd = 25.12 yards
So, the area of the circle is 50.24 square yards and the circumference is 25.12 yards.
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