Math Problem Statement

How would you find the radius if only the diameter was given?

Solution

To find the radius of a circle if only the diameter is given, you simply divide the diameter by 2.

Formula:

Radius=Diameter2\text{Radius} = \frac{\text{Diameter}}{2}

Example:

If the diameter DD is 12 units (as calculated from the previous problem):

Radius=122=6 units\text{Radius} = \frac{12}{2} = 6 \text{ units}

Conclusion:

The radius is half the length of the diameter.

Would you like to explore more on this topic, or do you have any other questions?


Here are 5 related questions:

  1. What is the diameter if the radius is known to be 7 units?
  2. How would you express the circumference of a circle in terms of its radius?
  3. Can you derive the area of a circle using the radius?
  4. How does doubling the radius affect the diameter?
  5. If a circle's radius is increased by 2 units, how does that impact its diameter?

Tip: Understanding the relationship between radius and diameter is crucial, as many circle-related formulas (like circumference and area) use either or both.

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Math Problem Analysis

Mathematical Concepts

Geometry
Circle Geometry

Formulas

Radius = Diameter / 2

Theorems

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Suitable Grade Level

Grades 6-8