Question

Which statements are true about the components of a circle? Check all that apply.
The radius is half the length of the diameter.
The circumferences is triple the radius.
The circumference is the perimeter of a circle.
To find the circumference, multiply Pi by the diameter.
The diameter is triple the length of the radius.

Answers

Answered by GPT-4o mini
Let's evaluate each statement:

1. **The radius is half the length of the diameter.**
**True** - The radius is defined as half the diameter of the circle.

2. **The circumference is triple the radius.**
**False** - The circumference of a circle is given by the formula \( C = 2\pi r \), where \( r \) is the radius.

3. **The circumference is the perimeter of a circle.**
**True** - The circumference is indeed the perimeter of a circle.

4. **To find the circumference, multiply Pi by the diameter.**
**True** - The circumference can also be calculated using the formula \( C = \pi d \), where \( d \) is the diameter.

5. **The diameter is triple the length of the radius.**
**False** - The diameter is actually double the length of the radius (not triple).

So, the true statements are:
- The radius is half the length of the diameter.
- The circumference is the perimeter of a circle.
- To find the circumference, multiply Pi by the diameter.

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