What is the area of a circle with a diameter of 16 yards? Estimate the area to the hundredths place using 3.14 for pi
The radius of the circle can be calculated by dividing the diameter by 2.
Radius = Diameter / 2 = 16 yards / 2 = 8 yards
The area of a circle is given by the formula A = πr^2, where π is the mathematical constant pi (approximately 3.14) and r is the radius.
Area = 3.14 * (8 yards)^2 = 3.14 * 64 yards^2 = 200.96 yards^2
Rounded to the hundredths place, the estimated area of the circle is 200.96 yards^2.
To find the area of a circle, you can use the formula:
Area = π * (radius^2)
Given that the diameter of the circle is 16 yards, we can find the radius by dividing the diameter by 2:
Radius = Diameter / 2 = 16 / 2 = 8 yards
Now, we can substitute the value of the radius into the formula:
Area = 3.14 * (8^2) = 3.14 * 64 = 200.96 square yards
Therefore, the area of the circle with a diameter of 16 yards is approximately 200.96 square yards.