Which describes the collection of all points in the same plane that are
8 and 1/2
inches from Point T?
circle T with radius 8 and 1/ 2 inches
circle T with diameter 8 and 1/2 inches
circle T with radius 17 inches
a sphere with center T and radius 8 and 1/2 inches
First choice,
It said in a plane, the last choice would involve 3D
last choice
Go with Reiny. I missed the term "sphere"
Tysm :3
To answer this question, we need to understand the concept of distance and geometric shapes.
In this case, we are looking for the collection of all points in the same plane that are a certain distance from Point T. This suggests that we are dealing with a two-dimensional shape.
Let's consider the options one by one:
1. Circle T with radius 8 and 1/2 inches: In a circle, all points on the circumference are equidistant from the center. Therefore, this option satisfies the condition of all points being a certain distance from Point T.
2. Circle T with diameter 8 and 1/2 inches: The diameter of a circle is the distance between any two points on the circumference passing through the center. The radius is half the length of the diameter. Since we are interested in all points in the same plane that are a certain distance from Point T, the diameter is not directly relevant. Therefore, this option does not fit our requirement.
3. Circle T with radius 17 inches: The radius of this circle is twice the length of the first option. Therefore, this circle includes all points that are twice as far from Point T compared to the first option. Hence, this does not represent the collection of points we are looking for.
4. A sphere with center T and radius 8 and 1/2 inches: A sphere is a three-dimensional object, not a two-dimensional shape. Although it has a center and radius, it does not satisfy the condition of all points being in the same plane.
Therefore, the correct answer is "circle T with radius 8 and 1/2 inches".