Question

1. which geometric shape requires knowing the distance formula to calculate its perimeter accurately?

a. rectangle
b. none of the answers
c. circle
d. sphere

Explanation:

The distance formula is used to find the length between two points. For a rectangle, if the vertices are given in a coordinate - plane, we use the distance formula to find the lengths of its sides and then calculate the perimeter. A circle's perimeter (circumference) is calculated using the formula \(C = 2\pi r\) and does not require the distance formula. A sphere is a 3 - D shape and its surface - area or volume formulas do not use the distance formula for perimeter calculation.

Answer:

a. Rectangle