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
The radius of the circle is half the diameter, so the radius would be 16/2 = 8 yards.
The formula for the area of a circle is A = π*r^2.
Using π = 3.14 and r = 8, we can calculate the area:
A = 3.14 * 8^2
A = 3.14 * 64
A ≈ 200.96
Therefore, the area of the circle is approximately 200.96 square yards.
To find the area of a circle, you can use the formula: A = πr^2, where A is the area and r is the radius.
Step 1: Find the radius
The diameter of the circle is given as 16 yards. The radius (r) is half of the diameter, so divide the diameter by 2:
r = 16 yards / 2 = 8 yards
Step 2: Calculate the area
Now that we have the radius, we can substitute it into the formula:
A = 3.14 × (8 yards)^2
Step 3: Calculate the square of the radius
To calculate the square of the radius, multiply the radius by itself:
r^2 = 8 yards × 8 yards = 64 square yards
Step 4: Calculate the area
Substitute the square of the radius into the formula to find the area:
A = 3.14 × 64 square yards
Step 5: Calculate the area
Multiply the value of π (3.14) by 64:
A ≈ 3.14 × 64 ≈ 200.96 square yards
Therefore, the area of a circle with a diameter of 16 yards is approximately 200.96 square yards (rounded to the hundredths place).
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 = 16 yards / 2 = 8 yards
Now, substitute the value of the radius into the formula.
Area = 3.14 * (8 yards)^2 = 3.14 * 64 yards^2
To find the estimated area to the hundredths place, let's calculate the result:
Area ≈ 3.14 * 64 = 200.96 square yards
Therefore, the estimated area of the circle with a diameter of 16 yards, using 3.14 for π, is approximately 200.96 square yards.