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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

1 Answer

4 votes

Answer:

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

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