How to Solve the Chord Length of a Circle using the Formula

Learn the formula to calculate the chord length of a circle quickly and easily.

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To solve the chord of a circle, use the formula: C = 2 * sqrt(r² - d²) where `C` is the length of the chord, `r` is the radius, and `d` is the perpendicular distance from the center to the chord.* This formula helps you find the length directly when these specific measurements are available. For instance, if the radius is 10 units and the perpendicular distance is 6 units, the chord length would be: `C = 2 sqrt(10² - 6²) = 2 * sqrt(64) = 16 units.`

FAQs & Answers

  1. What is the formula to calculate the chord length of a circle? The formula to calculate the chord length is C = 2 * sqrt(r² - d²), where C is the length of the chord, r is the radius, and d is the perpendicular distance from the center to the chord.
  2. How do I apply the chord formula with specific measurements? To apply the chord formula, substitute the radius and perpendicular distance values into C = 2 * sqrt(r² - d²). For example, if the radius is 10 units and the perpendicular distance is 6 units, then C = 2 * sqrt(10² - 6²) which equals 16 units.
  3. What is a chord in a circle? A chord in a circle is a straight line segment whose endpoints both lie on the circle. The longest chord is the diameter.
  4. Why is the chord length formula important? The chord length formula is important in geometry as it allows you to calculate distances within circles, which is essential for various applications in design, engineering, and mathematics.

Watch More

For those interested in further exploring geometric concepts, we recommend checking out our videos on related topics such as calculating the area of a circle, understanding angles in circles, and working with circle theorems. Expanding your knowledge in these areas will provide a comprehensive understanding of geometrical principles.

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