Understanding the Impact of Halving Diameter on Circle Radius

Discover how halving the diameter influences the radius of a circle in this concise Q&A video.

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If the diameter of a circle is halved, the radius is also halved. Since the radius is simply half the diameter, reducing the diameter results in a directly proportional reduction in the radius. For instance, if the original diameter is 10 units, halving it to 5 units will change the radius from 5 units to 2.5 units.

FAQs & Answers

  1. What is the formula for calculating the radius? The radius is calculated as half of the diameter; Radius = Diameter / 2.
  2. How does the radius affect the area of a circle? The area of a circle is proportional to the square of the radius; Area = π × Radius².
  3. What happens to the circumference if the diameter is halved? The circumference is also halved, as it is directly proportional to the diameter; Circumference = π × Diameter.
  4. Can the concept of radius be applied to other shapes? Yes, while radius specifically pertains to circles, similar concepts can be discussed in the context of ellipses and spheres.

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