The completed table is as follows:
Radius Diameter Area Circumference
2 4 4π 8π
4 8 16π 16π
6 12 36π 36π
8 16 64π 64π
10 20 100π 100π
The subject of this question is Mathematics, specifically the branch dealing with Geometry. We are asked to determine the values for the radius, diameter, area, and circumference of different circles. The values provided are to be used to fill in the missing data in a table.
To do this, you must understand the fundamental relationships between these values in a circle. For every circle:
The diameter is twice the radius (Diameter = 2 x Radius).
The circumference is π times the diameter (Circumference = π x Diameter).
The area is π times the radius squared (Area = π x Radius²).
By using these equations, you can calculate the missing values in the table. For example, if you have a radius of 1, the diameter would be 2, the area would be π, and the circumference would be 2π.