Radius definitions
| Word backwards | suidar |
|---|---|
| Part of speech | Noun |
| Syllabic division | ra-di-us |
| Plural | The plural of the word "radius" is "radii." |
| Total letters | 6 |
| Vogais (3) | a,i,u |
| Consonants (3) | r,d,s |
Radius is a fundamental concept in geometry that refers to the distance from the center of a circle or sphere to any point on its circumference. It is represented by the symbol "r" and plays a crucial role in various mathematical calculations and geometric formulas.
Definition of Radius
The radius of a circle is the line segment that connects the center of the circle to any point on its circumference. It is half of the diameter of the circle, which is the longest chord that passes through the center of the circle. In a sphere, the radius extends from the center to any point on its surface.
Calculating Radius
To find the radius of a circle, you can use the formula: r = d/2, where "r" is the radius and "d" is the diameter. If you know the circumference of a circle, you can calculate the radius using the formula: r = C / (2 π), where "C" is the circumference and "π" is pi (approximately 3.14159).
Importance of Radius
The radius is essential in geometry for determining the size, area, and circumference of circles and spheres. It is used in various mathematical concepts, such as calculating the volume of spheres, finding the area of circles, and solving problems in trigonometry and calculus.
Radius is a fundamental measure in geometry that provides valuable information about the size and dimensions of circles and spheres. Understanding the concept of radius is essential for mastering geometric calculations and solving complex mathematical problems.
Radius Examples
- The radius of a circle is half of its diameter.
- The earthquake's epicenter was located within a 50-mile radius.
- The car's turning radius made it easy to navigate tight corners.
- The fire alarm has a radius of 100 feet for detection.
- The radius of a sphere extends from its center to any point on its surface.
- The medieval castle had a large courtyard with a radius of 200 feet.
- The hurricane's impact was felt within a 200-mile radius.
- The doctor measured the radius of the patient's swollen ankle.
- The telescope has a high-powered lens to view objects within a large radius.
- The city's zoning laws prohibit building structures within a certain radius of the park.