Question

A circle has a diameter of 4 inches. Which statement about the area and circumference of the circle is true?

A comparison of the area and circumference of the circle is not possible because there is not enough information to find both.
The numerical values of the circumference and area are equal.
The numerical value of the circumference is greater than the numerical value of the area.
The numerical value of the circumference is less than the numerical value of the area.

Answer 1

Option B is correct

The numerical values of the circumference and area are equal.

Explanation:

Circumference(C) and Area (A)of the circle is given by:

....[1]

......[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;

Therefore, the numerical values of the circumference and area are equal i.e 12.56