Question

3. Pi is defined as the ratio of the circumference of a circle to the diameter of that circle. Which of the following correctly explains why the formula for the circumference of a circle is 2 mr 7 (1 point)

Two times equals the distance from one side of the circle to the other. When you multiply that by r, you get the distance around the circle, or the circumference.

Pi times requals the diameter of the circle. The diameter is half the circle, so when you multiply it by 2, you get the distance around the entire circle, or the circumference.

Two times requals the diameter of the circle. Pi is needed for all circle formulas, so you multiply by since you are finding the circumference.

Two times requals the diameter of the circle. Pi equals the circumference divided by the diameter. When you multiply, the diameter is in both the numerator and the denominator, which cancels out, leaving the circumference.​

Answer 1

The correct explanation for the formula for the circumference of a circle is: Two times the radius (2r) equals the diameter of the circle. When you multiply that by π (pi), you get the distance around the entire circle, or the circumference.

Answer 2

The correct answer is "Two times r equals the diameter of the circle. When you multiply that by pi, you get the distance around the circle, or the circumference." This is because the circumference of a circle is equal to the distance around it, which is the same as the length of its perimeter. The diameter of a circle is the straight line that passes through the center of the circle and touches both sides. Therefore, if you multiply the diameter by pi, which is the ratio of the circumference to the diameter of a circle, you get the circumference. Alternatively, you can also use the formula C = 2πr, where C is the circumference and r is the radius of the circle. Since the radius is half the diameter, the formula can also be stated as C = πd, where d is the diameter of the circle.

Explanation: