If the radius of a circle is 5 cm, then the length of the diameter is 10 cm.
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If the radius of a circle is 5 cm, then the length of the diameter is 10 cm.
To determine if the statement "If the radius of a circle is 5 cm, then the length of the diameter is 10 cm" is true, we need to use the relationship between the radius and diameter of a circle.
The diameter of a circle is calculated using the formula:
where is the radius. In this problem, the radius is given as 5 cm.
Using the formula, the diameter is:
This matches exactly the length of the diameter given in the problem.
Therefore, the statement "If the radius of a circle is 5 cm, then the length of the diameter is 10 cm" is True.
True
There are only 4 radii in a circle.
The radius is the distance from the center to the edge of the circle. The diameter is the full distance across the circle through the center - it's always exactly twice the radius!
Think of it this way: the diameter goes from one side of the circle to the other, passing through the center. That means it covers two radius lengths - one from edge to center, then another from center to the opposite edge.
Remember: Diameter = 2 × Radius, or think "Double the Radius" to get the diameter. The diameter is always the bigger measurement!
Just work backwards! If , then . Divide the diameter by 2 to get the radius.
Yes, absolutely! Every single circle, no matter how big or small, follows this rule. It's one of the most reliable formulas in geometry - the diameter is always exactly twice the radius.
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