Question

no additional details were added for this assignment. listen two circular plates are measured for their diameters and circumferences. plate a has a diameter of 10 cm and a circumference of approximately 31.4 cm. plate b has a diameter of 20 cm and a circumference of approximately 62.8 cm. based on these measurements, which of the following best explains how the formula for the circumference of a circle is derived? the circumference is about 3.14 times the radius the circumference is the product of the diameter and the radius the circumference increases proportionally to the square of the radius the circumference is about 3.14 times the diameter

Explanation:

The formula for the circumference of a circle is $C = \pi d$, where $\pi\approx3.14$ and $d$ is the diameter. For Plate A with diameter $d = 10$ cm, $C=\pi\times10\approx3.14\times10 = 31.4$ cm. For Plate B with diameter $d = 20$ cm, $C=\pi\times20\approx3.14\times20=62.8$ cm. This shows that the circumference is about 3.14 times the diameter.

Answer:

The circumference is about 3.14 times the diameter.