Answer:
Option B is correct
The numerical values of the circumference and area are equal.
Step-by-step explanation:
Circumference(C) and Area (A)of the circle is given by:
[tex]C = 2\pi r[/tex] ....[1]
[tex]A = \pi r^2[/tex] ......[2]
where, r is the radius of the circle.
As per the statement:
A circle has a diameter of 4 inches.
We know:
Diameter = 2 (radius(r))
then;
4 = 2r
Divide both sides by 2 we have;
r = 2 inches
Substitute these in [1] and [2] we have;
Use [tex]\pi = 3.14[/tex]
then;
[tex]C = 2 \cdot 3.14 \cdot 2 = 12.56 in.[/tex]
[tex]A = 3.14 \cdot 2^2 = 3.14 \cdot 4 = 12.56 in^2[/tex]
Therefore, the numerical values of the circumference and area are equal i.e 12.56
