Question

explore the relationship between the radius and area of a circle by following these steps. 1. press continue to rearrange the sectors of the circle to form a shape resembling a parallelogram. 2. if we divide the circle into more sectors, the bottom shape more closely resembles a parallelogram. press continue to repeat the last step with 16 sectors. 3. the formula for the area of a parallelogram is base × height. 4. the height of the parallelogram is r. 5. the formula for the circumference of the circle is dropdown with options π, πr, 2πr check

Explanation:

The circumference of a circle is the distance around it. The formula for the circumference of a circle is derived from the relationship between the radius (r) and the constant π. The correct formula is \( C = 2\pi r \), where \( C \) is the circumference. This is a well - known formula in geometry (a sub - field of mathematics) where the circumference is calculated as twice the product of π and the radius of the circle. The other options, \( \pi \) is just the constant and \( \pi r \) is half of the circumference (the length of a semicircle), so they are incorrect.

Answer:

\( 2\pi r \)