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.
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.
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.