Question

serena constructed a wire barrier to protect her tomato plant from squirrels. the barrier is 2.5 feet from the tomato plant in every direction. which statement describes the shape of the barrier? a. a square with sides 5 feet long b. a circle with a radius of 5 feet c. a square with diagonals 5 feet long d. a circle with a diameter of 5 feet

Explanation:

Step1: Recall the definition of a circle

A circle is the set of all points in a plane that are at a given distance (radius) from a given point (center).

Step2: Analyze the problem

The barrier is 2.5 feet from the tomato plant in every direction. This means the distance from the center (tomato plant) to any point on the barrier is 2.5 feet. The radius of a circle is the distance from the center to any point on the circle. If the radius \(r = 2.5\) feet, then the diameter \(d=2r\). Substituting \(r = 2.5\) feet, we get \(d = 5\) feet.

Answer:

D. a circle with a diameter of 5 feet