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

The Answers:

A- A comparison of the area and circumference of the circle is not possible because there is not enough information to find both.

B- The numerical values of the circumference and area are equal.

C- The numerical value of the circumference is greater than the numerical value of the area.

D- The numerical value of the circumference is less than the numerical value of the area.

BTW it's not A

Question

Answered

Verified Answer :

Azieq Azieq · Answer 1 · 2016-11-04T15:23:05-04:00

area = pi × 2^2
= 4pi

circumference = 2 × pi × 2
= 4pi

the answer is b

Answer Link

OrethaWilkison OrethaWilkison · Answer 2 · 2019-04-03T12:43:09-04:00

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:

\(C = 2\pi r\) ....[1]

\(A = \pi r^2\) ......[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 \(\pi = 3.14\)

then;

\(C = 2 \cdot 3.14 \cdot 2 = 12.56 in.\)

\(A = 3.14 \cdot 2^2 = 3.14 \cdot 4 = 12.56 in^2\)

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