The diameter of a circle is 8 yards. What is the circle’s circumference? Use 3.14
The correct answer and explanation is:
The circumference of a circle can be calculated using the formula: C=π×dC = \pi \times d
Where CC is the circumference, π\pi is approximately 3.14, and dd is the diameter of the circle. Given that the diameter dd is 8 yards, the calculation for the circumference is: C=3.14×8=25.12 yardsC = 3.14 \times 8 = 25.12 \text{ yards}
So, the circumference of the circle is 25.12 yards.
Explanation:
The circumference of a circle is the distance around the circle. It can be thought of as the perimeter of the circle, and it depends directly on the diameter. The diameter is the longest distance across the circle, passing through its center. The mathematical constant π\pi (pi) is used in this calculation. Pi is an irrational number, which means it cannot be expressed exactly as a fraction, but for practical purposes, it’s commonly approximated as 3.14.
When calculating the circumference, you multiply the diameter by π\pi, since the circumference is roughly 3.14 times the length of the diameter. This relationship is true for all circles, regardless of size. By applying this formula, we can quickly determine the distance around any given circle as long as we know the diameter.
In this case, by plugging in the value of the diameter (8 yards) and using 3.14 for π\pi, we get 25.12 yards for the circumference. This means if you were to walk around the edge of this circle, you would cover a distance of 25.12 yards.
Understanding the formula for circumference is fundamental in geometry and real-world applications, such as measuring the length of a circular track or determining the amount of material needed to create a circular boundary.