Which describes the collection of all points in the same plane that are 8 1/2 inches from point t? a.) circle t with radius 8 1/2 inches b.) circle t with diameter 8 1/2 inches c.) circle t with radius 17 inches d.) a sphere with center t and radius 8 1/2 inches

It is a sphere with center T and radius 8.5 inches ⇒ answer D

Step-by-step explanation:

* Lets explain the difference between the circle and the sphere

- A circle is a closed curve formed from the set of all points in a plane

 that are equidistant from a given point

- This distance is the radius of the circle, and the given point is

 called the center of the circle

- A circle is a 2-dimensional figure, and the two dimensional does not

 contain the set of all points in the 3-dimensional plane

- A sphere is a round geometrical object in three-dimensional space

- A sphere is defined as the set of all points that are equidistant from

 a given point, in the three-dimensional space.

- This distance is the radius of the sphere, and the given point is called

 the center of the sphere

* Lets solve the problem

- The collection of all points in the same plane that are 8.5 inches

  from point T

∵ The definition of the sphere is the set of all points that are

  equidistant from a given point, in the three-dimensional space

∴ It is a sphere with center T and radius 8.5 inches