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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. 88 cm
C. 44 cm
D. 9 cm

Answer :

Certainly! To find the circumference of a circle, we use the formula:

[tex]\[ \text{Circumference} = \pi \times \text{Diameter} \][/tex]

In this problem, you're provided with the diameter of the circle, which is 28 cm. You are also instructed to approximate [tex]\(\pi\)[/tex] using the value [tex]\(\frac{22}{7}\)[/tex].

Here's the step-by-step solution:

1. Identify the diameter:
The diameter of the circle is given as 28 cm.

2. Approximate π:
Use the approximation [tex]\(\pi = \frac{22}{7}\)[/tex].

3. Plug the values into the formula:
Substitute the values into the circumference formula:

[tex]\[ \text{Circumference} = \left( \frac{22}{7} \right) \times 28 \][/tex]

4. Calculate:
Simplify the expression:

[tex]\[ \text{Circumference} = \left( \frac{22}{7} \right) \times 28 = 88 \][/tex]

So, the circumference of the circle is 88 cm. Therefore, the correct answer is 88 cm.

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