Answer :
- The problem provides the diameter of a circle and asks for its circumference using $\pi = \frac{22}{7}$.
- The formula for the circumference of a circle is $C = \pi d$.
- Substituting the given values, we have $C = \frac{22}{7} \times 28 = 22 \times 4$.
- The circumference of the circle is $\boxed{88 \text{ cm}}$.
### Explanation
1. Problem Analysis and Given Data
We are given a circle with a diameter of 28 cm and asked to find its circumference, using the approximation $\pi = \frac{22}{7}$. The circumference of a circle is given by the formula $C = \pi d$, where $C$ is the circumference and $d$ is the diameter.
2. Substitute Values
Substitute the given values into the formula: $C = \frac{22}{7} \times 28$.
3. Simplify
Simplify the expression: $C = 22 \times \frac{28}{7} = 22 \times 4$.
4. Calculate Circumference
Calculate the final value: $C = 88$ cm. Therefore, the circumference of the circle is 88 cm.
### Examples
Understanding the circumference of a circle is useful in many real-world situations. For example, if you're building a circular fence around a garden, you need to know the circumference to determine how much fencing material to buy. Similarly, if you're designing a circular race track, the circumference helps you calculate the total distance of one lap.
- The formula for the circumference of a circle is $C = \pi d$.
- Substituting the given values, we have $C = \frac{22}{7} \times 28 = 22 \times 4$.
- The circumference of the circle is $\boxed{88 \text{ cm}}$.
### Explanation
1. Problem Analysis and Given Data
We are given a circle with a diameter of 28 cm and asked to find its circumference, using the approximation $\pi = \frac{22}{7}$. The circumference of a circle is given by the formula $C = \pi d$, where $C$ is the circumference and $d$ is the diameter.
2. Substitute Values
Substitute the given values into the formula: $C = \frac{22}{7} \times 28$.
3. Simplify
Simplify the expression: $C = 22 \times \frac{28}{7} = 22 \times 4$.
4. Calculate Circumference
Calculate the final value: $C = 88$ cm. Therefore, the circumference of the circle is 88 cm.
### Examples
Understanding the circumference of a circle is useful in many real-world situations. For example, if you're building a circular fence around a garden, you need to know the circumference to determine how much fencing material to buy. Similarly, if you're designing a circular race track, the circumference helps you calculate the total distance of one lap.
