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Circle properties - MYP Questionbank | RevisionDojo

Practice Circle properties with authentic MYP MYP Standard Mathematics exam questions for both SL and HL students. This question bank mirrors Paper 1, 2, 3 structure, covering key topics like core principles, advanced applications, and practical problem-solving. Get instant solutions, detailed explanations, and build exam confidence with questions in the style of MYP examiners.

Type

Difficulty

Question 1

Which of the following statements correctly describes the relationship between a chord length $c$ and the diameter $d$ of the same circle?

Question 2

Which of the following geometric descriptions correctly defines a sector of a circle?

Question 3

If the central angle of a sector is $72^{\circ}$ , what fraction of the total area of the circle is represented by this sector?

Question 4

Sector A has a radius of $5 \text{ units}$ and a central angle of $2 \text{ radians}$ . Sector B has a radius of $10 \text{ units}$ and a central angle of $1 \text{ radian}$ . Which of the following statements is true regarding their areas?

Question 5

A sector is created such that its arc length is exactly equal to the radius of the circle $(s = r)$ . The area of this sector can be expressed as:

Question 6

A sector has an area of $25\pi \text{ cm}^2$ and a central angle of $90^\circ$ . Find the radius of the circle.

Question 7

True or False: The area of a segment is always less than the area of the sector formed by the same arc and radii.

Question 8

In a circle of radius $r = 10\text{ cm}$ , a chord has a length of $10\text{ cm}$ . Find the central angle $\theta$ subtended by this chord.

Question 9

A chord of length $10\text{ cm}$ is at a perpendicular distance of $12\text{ cm}$ from the center of a circle. Calculate the radius of the circle.

Question 10

A circular pizza is cut into sectors. If the radius of the pizza is doubled, but the central angle of the slice is halved, how does the area of the slice change?

Type

Difficulty

Question 1

Which of the following statements correctly describes the relationship between a chord length $c$ and the diameter $d$ of the same circle?

Question 2

Which of the following geometric descriptions correctly defines a sector of a circle?

Question 3

If the central angle of a sector is $72^{\circ}$ , what fraction of the total area of the circle is represented by this sector?

Question 4

Question 5

A sector is created such that its arc length is exactly equal to the radius of the circle $(s = r)$ . The area of this sector can be expressed as:

Question 6

A sector has an area of $25\pi \text{ cm}^2$ and a central angle of $90^\circ$ . Find the radius of the circle.

Question 7

True or False: The area of a segment is always less than the area of the sector formed by the same arc and radii.

Question 8

In a circle of radius $r = 10\text{ cm}$ , a chord has a length of $10\text{ cm}$ . Find the central angle $\theta$ subtended by this chord.

Question 9

A chord of length $10\text{ cm}$ is at a perpendicular distance of $12\text{ cm}$ from the center of a circle. Calculate the radius of the circle.

Question 10

A circular pizza is cut into sectors. If the radius of the pizza is doubled, but the central angle of the slice is halved, how does the area of the slice change?

Type

Difficulty

Question 1

Which of the following statements correctly describes the relationship between a chord length $c$ and the diameter $d$ of the same circle?

Question 2

Which of the following geometric descriptions correctly defines a sector of a circle?

Question 3

If the central angle of a sector is $72^{\circ}$ , what fraction of the total area of the circle is represented by this sector?

Question 4

Question 5

A sector is created such that its arc length is exactly equal to the radius of the circle $(s = r)$ . The area of this sector can be expressed as:

Question 6

A sector has an area of $25\pi \text{ cm}^2$ and a central angle of $90^\circ$ . Find the radius of the circle.

Question 7

True or False: The area of a segment is always less than the area of the sector formed by the same arc and radii.

Question 8

In a circle of radius $r = 10\text{ cm}$ , a chord has a length of $10\text{ cm}$ . Find the central angle $\theta$ subtended by this chord.

Question 9

A chord of length $10\text{ cm}$ is at a perpendicular distance of $12\text{ cm}$ from the center of a circle. Calculate the radius of the circle.

Question 10

A circular pizza is cut into sectors. If the radius of the pizza is doubled, but the central angle of the slice is halved, how does the area of the slice change?

Circle properties Questionbank