Answer
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Step 1:Let me solve this step by step with precise mathematical reasoning:
Step 2:: Define Diameter and Radius
- Diameter is the length of a straight line passing through the center of a circle and connecting two points on the circle's circumference - Radius is the length from the center of a circle to any point on its circumference
Step 3:: Relationship Between Diameter and Radius
- $$d$$ represents diameter
- By definition, the radius is HALF the length of the diameter Where:
Step 4:: Verify the Relationship
- $$10 \div 2 = 5
- If a circle has a diameter of 10 units, its radius would be 5 units - This confirms that the radius is always exactly half the diameter
Final Answer
True The radius is indeed half of a diameter. This is a fundamental geometric relationship that holds true for all circles.
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