MATH SOLVE

3 months ago

Q:
# 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

Accepted Solution

A:

Answer: It is a sphere with center T and radius 8.5 inches ⇒ answer DStep-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