Penerapan Rumus Keliling Lingkaran dalam Menghitung Diameter
The circumference of a circle, a fundamental concept in geometry, plays a crucial role in various real-world applications, from calculating the distance around a circular track to determining the amount of material needed for a circular fence. Understanding the relationship between the circumference and diameter of a circle is essential for solving numerous problems involving circular shapes. This article delves into the application of the circumference formula to calculate the diameter of a circle, exploring the underlying principles and providing practical examples to illustrate the process.
The Circumference Formula and its Relationship with Diameter
The circumference of a circle is the distance around its outer edge. It is directly proportional to the diameter of the circle, which is the distance across the circle passing through its center. The formula for calculating the circumference (C) of a circle is:
C = πd
where:
* C is the circumference
* π (pi) is a mathematical constant approximately equal to 3.14159
* d is the diameter
This formula highlights the direct relationship between the circumference and diameter. The circumference is always π times greater than the diameter.
Applying the Formula to Calculate Diameter
To calculate the diameter of a circle given its circumference, we can rearrange the circumference formula:
d = C / π
This formula allows us to isolate the diameter (d) by dividing the circumference (C) by π.
Practical Examples
Let's consider a few practical examples to illustrate the application of the formula:
* Example 1: A circular swimming pool has a circumference of 50 meters. What is the diameter of the pool?
Using the formula d = C / π, we can calculate the diameter:
d = 50 meters / 3.14159 ≈ 15.91 meters
Therefore, the diameter of the swimming pool is approximately 15.91 meters.
* Example 2: A circular pizza has a circumference of 30 inches. What is the diameter of the pizza?
Applying the formula d = C / π, we get:
d = 30 inches / 3.14159 ≈ 9.55 inches
Hence, the diameter of the pizza is approximately 9.55 inches.
Conclusion
The circumference formula provides a powerful tool for calculating the diameter of a circle. By understanding the relationship between circumference and diameter and applying the formula, we can easily determine the diameter of any circular object given its circumference. This knowledge is invaluable in various fields, including engineering, construction, and everyday life. Whether it's calculating the size of a circular garden or determining the dimensions of a circular table, the ability to calculate diameter from circumference proves to be a practical and essential skill.