Answer :
Let's solve these two questions step by step:
### Question 9: Which of the following is not a property of a circle?
To solve this, we need to distinguish the given options and identify which one does not describe a property related to circles.
- Chord: This is a line segment with both endpoints on the circle. So, a chord is a property of a circle.
- Radius: This is a line segment from the center of the circle to any point on the circle. Hence, a radius is a property of a circle.
- Diameter: This is a straight line passing through the center of the circle, connecting two points on the circumference. The diameter is twice the length of the radius, thus it is also a property of a circle.
- Set-square: This is a drafting instrument used for drawing straight lines and angles, particularly right angles. It is not a geometric property or part of a circle.
Hence, the correct answer is:
D. Set-square
### Question 10: What percentage of 3 is 4?
To determine what percentage 4 is of 3, we use the formula for percentage:
[tex]\[ \text{Percentage} = \left(\frac{\text{New Value}}{\text{Original Value}}\right) \times 100 \][/tex]
Here:
- The original value is 3.
- The new value is 4.
Plugging in these values:
[tex]\[ \text{Percentage} = \left(\frac{4}{3}\right) \times 100 \][/tex]
When calculated, this gives:
[tex]\[ \text{Percentage} = 133.33\% \][/tex]
Hence, the correct answer is:
C. 133.3%
So, the final answers are:
9. D. Set-square
10. C. 133.3%
### Question 9: Which of the following is not a property of a circle?
To solve this, we need to distinguish the given options and identify which one does not describe a property related to circles.
- Chord: This is a line segment with both endpoints on the circle. So, a chord is a property of a circle.
- Radius: This is a line segment from the center of the circle to any point on the circle. Hence, a radius is a property of a circle.
- Diameter: This is a straight line passing through the center of the circle, connecting two points on the circumference. The diameter is twice the length of the radius, thus it is also a property of a circle.
- Set-square: This is a drafting instrument used for drawing straight lines and angles, particularly right angles. It is not a geometric property or part of a circle.
Hence, the correct answer is:
D. Set-square
### Question 10: What percentage of 3 is 4?
To determine what percentage 4 is of 3, we use the formula for percentage:
[tex]\[ \text{Percentage} = \left(\frac{\text{New Value}}{\text{Original Value}}\right) \times 100 \][/tex]
Here:
- The original value is 3.
- The new value is 4.
Plugging in these values:
[tex]\[ \text{Percentage} = \left(\frac{4}{3}\right) \times 100 \][/tex]
When calculated, this gives:
[tex]\[ \text{Percentage} = 133.33\% \][/tex]
Hence, the correct answer is:
C. 133.3%
So, the final answers are:
9. D. Set-square
10. C. 133.3%
