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 dropdown with options: base - height, base × height, 2 × base × height.

Explanation:

The formula for the area of a parallelogram is a fundamental geometric formula. By definition, the area of a parallelogram is calculated by multiplying the length of the base by the height (the perpendicular distance between the two bases). The option "base - height" is incorrect as subtraction does not give the area. The option "2 × base × height" is the formula for the area of a rhombus (a special case of parallelogram) when using diagonals, or for the area of a triangle multiplied by 2, but not the general formula for a parallelogram. So the correct formula is base × height.

Answer:

base × height