Circle and Disc

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What is the definition of a circle?

A circle is a set of all points in a plane that are a fixed distance from a center point.

What does the term 'radius' refer to in a circle?

The radius of a circle is the distance from the center of the circle to any point on its boundary.

How do you calculate the circumference of a circle?

The circumference of a circle is calculated using the formula C = 2πr, where r is the radius.

What is a 'diameter' in a circle?

The diameter is a straight line passing from side to side through the center of a circle; it is twice the radius.

How is the area of a circle calculated?

The area of a circle is calculated using the formula A = πr², where r is the radius.

What is a disc?

A disc is the region in a plane enclosed by a circle, including the circle itself.

What is the difference between a circle and a disc?

A circle refers to just the boundary, whereas a disc includes the circle and all the points inside it.

How can you draw a perfect circle?

A perfect circle can be drawn using a compass, by fixing one end to the center point and rotating the other end around it.

What is a sector of a disc?

A sector is a part of a disc bounded by two radii and the arc between them.

How is the length of an arc in a circle determined?

The length of an arc is determined by the formula L = θ/360° × 2πr, where θ is the angle of the arc and r is the radius.

Define chord with respect to a circle.

A chord is a line segment with both endpoints on the circle.

What is a tangent line?

A tangent line is a straight line that touches a circle at exactly one point.

How is a small segment of a circle referred?

A small part of a circle created by two radii and an arc is called a 'sector'.

What do we call a region inside a disc, bounded by a chord and an arc?

This region is called a 'segment' of a disc.

What is the relation between diameter and radius?

The diameter is twice the length of the radius.





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1. What is the definition of a circle?

A circle is a set of all points in a plane that are a fixed distance from a center point.

A circle is a closed figure with four equal sides.

A circle is a three-dimensional shape with a circular base.

A circle is an equilateral polygon with infinite sides.

2. What does the term 'radius' refer to in a circle?

The radius of a circle is the perimeter divided by pi.

The radius of a circle is the distance from the center of the circle to any point on its boundary.

The radius is equal to the square root of the area.

The radius is twice the diameter.

3. How do you calculate the circumference of a circle?

The circumference is π times the radius squared.

C = πr².

C = 4πr.

The circumference of a circle is calculated using the formula C = 2πr, where r is the radius.

4. What is a 'diameter' in a circle?

The diameter is half the radius.

The diameter is the radius plus the circumference.

The diameter is a straight line passing from side to side through the center of a circle; it is twice the radius.

The diameter is the distance around the circle.

5. How is the area of a circle calculated?

The area of a circle is calculated using the formula A = πr², where r is the radius.

The area is 4πr.

A = 2πr.

Area is calculated as π times the diameter.

6. What is a disc?

A disc is the radius of a circle, extended to infinity.

A disc is the region in a plane enclosed by a circle, including the circle itself.

A disc is only the circumference of a circle.

A disc is a three-dimensional extension of a circle.

7. What is the difference between a circle and a disc?

A circle is three-dimensional, whereas a disc is two-dimensional.

A circle is a square folded into a circular shape, whereas a disc is not.

A circle refers to just the boundary, whereas a disc includes the circle and all the points inside it.

A circle has a larger area than a disc of the same diameter.

8. How can you draw a perfect circle?

A perfect circle can be drawn using a compass, by fixing one end to the center point and rotating the other end around it.

A perfect circle can be sketched freehand with enough practice.

A perfect circle is x times the radius.

A perfect circle cannot be drawn without a straight edge.

9. What is a sector of a disc?

A sector includes the entire circle and its center.

A sector is a part of a disc bounded by two radii and the arc between them.

A sector is a line that does not intersect the circle at any point.

A sector is the longest chord inside a circle.

10. How is the length of an arc in a circle determined?

Arc length is the same as the diameter of the circle.

The length of an arc is determined by the formula L = θ/360° × 2πr, where θ is the angle of the arc and r is the radius.

Arc length is calculated by multiplying the radius by 2 and dividing by π.

Arc length is twice the radius in all cases.

11. Define chord with respect to a circle.

A chord is a radius extended to infinity.

A chord is a line tangent to the circle.

A chord is any line passing through the center of the circle.

A chord is a line segment with both endpoints on the circle.

12. What is a tangent line?

A tangent line is a line passing through the center of the circle.

A tangent line is any line inside the circle.

A tangent line is a straight line that touches a circle at exactly one point.

A tangent line is a diameter that also serves as the radius.

13. How is a small segment of a circle referred?

A small part of a circle is called a circumference.

A small part of a circle created by two radii and an arc is called a 'sector'.

A small part of a circle is called a perimeter.

A small part of a circle is called a diameter.

14. What do we call a region inside a disc, bounded by a chord and an arc?

This is called a 'quadrant'.

This is called a 'sector'.

This is called a 'circumference'.

This region is called a 'segment' of a disc.

15. What is the relation between diameter and radius?

The diameter is always equal to the radius.

The diameter is twice the length of the radius.

The diameter is the radius plus the circumference.

The diameter is half the radius.