What is the area of a circle with a diameter of 16 yards? Estimate the area to the hundredths place using 3.14 for π
.(1 point)
The radius of the circle is half the diameter, so it will be 16 yards divided by 2, which is 8 yards.
The formula for the area of a circle is A = πr², where A is the area and r is the radius.
Using the given value of π as 3.14 and the radius of 8 yards, we can calculate the area:
A = 3.14 * 8²
A = 3.14 * 64
A ≈ 200.96
Therefore, the estimated area of the circle is 200.96 square yards.
To find the area of a circle, you can use the formula A = πr^2, where A represents the area and r represents the radius.
Step 1: Find the radius of the circle.
The diameter (d) of the circle is given as 16 yards. The radius (r) is half of the diameter, so you can divide the diameter by 2.
r = d/2 = 16/2 = 8 yards
Step 2: Calculate the area using the formula A = πr^2.
Plugging in the value of r into the formula:
A = 3.14 * (8)^2 = 3.14 * 64 = 200.96
Step 3: Round the result to the hundredths place.
Rounding 200.96 to the hundredths place gives us 200.96.
Therefore, the area of the circle with a diameter of 16 yards, estimated to the hundredths place using 3.14 for π, is approximately 200.96 square yards.
To find the area of a circle, you would need to use the formula:
Area = π * (radius)^2
However, in this question, we are given the diameter of the circle (16 yards), not the radius. The radius is half of the diameter, so we can calculate it by dividing the diameter by 2:
Radius = 16 yards / 2 = 8 yards
Now that we have the radius, we can use it to find the area. Plugging the value of the radius into the formula, we get:
Area = 3.14 * (8 yards)^2
Simplifying this, we get:
Area = 3.14 * 64 yards^2 = 200.96 yards^2
To estimate the area to the hundredths place using 3.14 for π, we round the result to two decimal places. Thus, the estimated area of the circle is 200.96 square yards.