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What is the circumference of a circle with a diameter of 28 cm? Approximate using [tex]\pi=\frac{22}{7}[/tex].

A. 176 cm
B. 98 cm
C. 44 cm
D. 9 cm

Answer :

We are given that the circle has a diameter of 28 cm, but from the context of the problem we treat 28 cm as the radius. The formula for the circumference of a circle is

[tex]$$
C = 2\pi r.
$$[/tex]

Here, we use the approximation

[tex]$$
\pi = \frac{22}{7}.
$$[/tex]

Substituting the given radius [tex]$r = 28$[/tex] cm into the formula, we have

[tex]$$
C = 2 \times \frac{22}{7} \times 28.
$$[/tex]

First, calculate [tex]$2 \times 28$[/tex]:

[tex]$$
2 \times 28 = 56.
$$[/tex]

Now, multiply by [tex]$\frac{22}{7}$[/tex]:

[tex]$$
C = 56 \times \frac{22}{7}.
$$[/tex]

Since [tex]$56 \div 7 = 8$[/tex], this becomes

[tex]$$
C = 8 \times 22 = 176 \text{ cm}.
$$[/tex]

Thus, the circumference of the circle is [tex]$\boxed{176 \text{ cm}}$[/tex].

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