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
Look at the circle in the figure:
Its radius is equal to 4.
What is its circumference?
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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