Circle and Disc

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What is the definition of a circle?

A circle is a round shape where every point on the edge is the same distance from the center.

What do we call the distance from the center of the circle to any point on the edge?

The radius.

How do you calculate the circumference of a circle?

The circumference is calculated as 2π times the radius (C = 2πr).

What is the difference between a circle and a disc?

A circle refers to the boundary, whereas a disc includes the boundary and everything inside it.

How do you find the area of a disc?

The area of a disc is π times the radius squared (A = πr²).

What is the name of a line that goes through the center of a circle and both ends are on the circle?

The diameter.

How is the diameter related to the radius?

The diameter is twice the length of the radius (d = 2r).

What do you call a segment that joins two points on a circle but does not pass through the center?

A chord.

What is the name of the longest possible chord in a circle?

The diameter.

If a circle’s radius is 4, what is its diameter?

The diameter is 8.

What is a sector of a circle?

A sector is a region enclosed by two radii and the arc between them.

What is an arc?

An arc is a part of the circumference of a circle.

How do you calculate the length of an arc?

The arc length is calculated using the formula (angle/360) × 2πr.

True or False: All circles are similar regardless of their size.

True.

If the circumference of a circle is 18π, what is the radius?

The radius is 9.





Test Your Knowledge

Select the correct option


1. What is the definition of a circle?

A circle is a round shape where every point on the edge is the same distance from the center.

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

A circle is the linear boundary of a polygon.

A circle is a closed shape with equal sides.

2. What do we call the distance from the center of the circle to any point on the edge?

The diameter.

The chord.

The radius.

The tangent.

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

The circumference is calculated as π times the radius squared.

The circumference is calculated as 2π times the radius (C = 2πr).

The circumference is 3 times the diameter.

The circumference is half the diameter times π.

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

A circle is hollow while a disc is solid.

A circle refers to the boundary, whereas a disc includes the boundary and everything inside it.

A disc is the external form, while a circle is its filled part.

A circle is flat, while a disc has height.

5. How do you find the area of a disc?

The area of a disc is π times the radius squared (A = πr²).

The area of a disc is 2π times the radius squared.

The area is π times the diameter.

The area is 3π times the radius.

6. What is the name of a line that goes through the center of a circle and both ends are on the circle?

A chord.

The diameter.

A tangent.

A radius.

7. How is the diameter related to the radius?

The diameter is the square of the radius.

The diameter is half the length of the radius.

The diameter is twice the length of the radius (d = 2r).

The diameter is the same as the radius.

8. What do you call a segment that joins two points on a circle but does not pass through the center?

A tangent.

A chord.

A radius.

A diameter.

9. What is the name of the longest possible chord in a circle?

The diameter.

A tangent.

A radius.

An arc.

10. If a circle’s radius is 4, what is its diameter?

6

8

2

12

11. What is a sector of a circle?

A sector is a straight line passing through the circumference.

A sector is a shape formed by two chords.

A sector is a region enclosed by two radii and the arc between them.

A sector is a line from the center to the edge.

12. What is an arc?

An arc is the full circle.

An arc is the outline of a circle.

An arc is a part of the circumference of a circle.

An arc is a line extending from the circle center.

13. How do you calculate the length of an arc?

The arc length is the diameter times π.

The arc length is calculated using the formula radius squared times π.

The arc length is calculated using the formula (angle/360) × 2πr.

The arc length is the circumference multiplied by the angle.

14. True or False: All circles are similar regardless of their size.

True.

False.

15. If the circumference of a circle is 18π, what is the radius?

12

9

6

18