Understanding the Relation Between Radius and Diameter of a Circle
Learn how the radius and diameter of a circle are related. Discover the formula for calculating diameter from radius.
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The correct relation between radius and diameter is: The diameter is twice the length of the radius. Mathematically, this is expressed as _D = 2r_, where _D_ represents the diameter and _r_ represents the radius. Therefore, if you know the radius of a circle, you can easily find the diameter by multiplying the radius by two.
FAQs & Answers
- What is the formula to calculate the diameter from the radius? The formula to calculate the diameter (D) from the radius (r) is D = 2r. This means that the diameter is always twice as long as the radius.
- How do you find the radius if you know the diameter? To find the radius from the diameter, use the formula r = D/2, which indicates that the radius is half the length of the diameter.
- Why is the relationship between radius and diameter important? The relationship between radius and diameter is essential in geometry and various applications, including calculating area and circumference of circles, making it foundational for understanding circles.
- Can the radius and diameter be used in other geometrical calculations? Yes, both the radius and diameter are used in various calculations involving circles, including area (A = πr²) and circumference (C = πD or C = 2πr).