College

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 :

To calculate the circumference of a circle when you are given the diameter, you can use the formula:

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

In this question, the diameter of the circle is 28 cm, and we are asked to use [tex]\(\pi = \frac{22}{7}\)[/tex].

Here’s how you can find the circumference step-by-step:

1. Identify the diameter of the circle, which is given as 28 cm.

2. Use the approximate value of [tex]\(\pi\)[/tex]:
- [tex]\(\pi\)[/tex] is approximately [tex]\(\frac{22}{7}\)[/tex].

3. Substitute the values into the formula for circumference:
[tex]\[
\text{Circumference} = \frac{22}{7} \times 28
\][/tex]

4. Perform the multiplication:
- First, divide 28 by 7, which is 4.
- Then multiply 22 by 4, which gives 88.

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