Q1: 1. What is the equation of a circle with center (2, -3) and radius 5?

• A) (x - 2)^2 + (y + 3)^2 = 25
• B) (x + 2)^2 + (y - 3)^2 = 25
• C) (x - 2)^2 + (y + 3)^2 = 5
• D) (x + 2)^2 + (y - 3)^2 = 5

Q2: 2. In a circle with radius 6, what is the length of an arc subtended by a central angle of 60 degrees?

• A) 2π
• B) 3π
• C) 4π
• D) π

Q3: 3. If the diameter of a circle is 10 cm, what is the circumference of the circle?

• A) 10π cm
• B) 15π cm
• C) 20π cm
• D) 25π cm

Q4: 5. A wheel of radius 15 cm is rotating at 1200 revolutions per minute. What is the speed of a point on the circumference in meters per second?

• A) 15π m/s
• B) 30π m/s
• C) 45π m/s
• D) 60π m/s

Q5: 6. If a chord of a circle is equal to the radius, what is the degree measure of the central angle subtended by the chord?

• A) 30 degrees
• B) 45 degrees
• C) 60 degrees
• D) 90 degrees

Q6: 7. What is the area of a sector of a circle with radius 8 cm and central angle of 45 degrees?

• A) 4π cm^2
• B) 8π cm^2
• C) 16π cm^2
• D) 32π cm^2

Q7: 8. The diameter of a circle is 20 cm. What is the length of an arc subtended by a central angle of 120 degrees?

• A) 10π cm
• B) 20π cm
• C) 30π cm
• D) 40π cm

Q8: 9. If the circumference of a circle is 36π cm, what is its radius?

• A) 6 cm
• B) 9 cm
• C) 12 cm
• D) 18 cm

Q9: 10. What is the equation of a circle with center (0, 0) and radius 4?

• A) x^2 + y^2 = 16
• B) x^2 + y^2 = 4
• C) x^2 + y^2 = 8
• D) x^2 + y^2 = 2

Q10: 11. A circular garden has a radius of 10 meters. What is the area of the garden?

• A) 100π sq. meters
• B) 200π sq. meters
• C) 300π sq. meters
• D) 400π sq. meters

Q11: 12. If the diameter of a circle is 12 cm, what is the area of the circle?

• A) 36π sq. cm
• B) 48π sq. cm
• C) 72π sq. cm
• D) 144π sq. cm

Q12: 13. A wheel makes 10 complete revolutions traveling a distance of 220 meters. What is the radius of the wheel?

• A) 2 m
• B) 4 m
• C) 6 m
• D) 8 m

Q13: 15. What is the length of an arc in a circle of radius 9 cm, subtended by a central angle of 60 degrees?

• A) 3π cm
• B) 6π cm
• C) 9π cm
• D) 12π cm

Q14: 16. The diameter of a circle is 14 cm. What is the circumference of the circle?

• A) 14π cm
• B) 21π cm
• C) 28π cm
• D) 42π cm

Q15: 18. A circular track has a radius of 100 meters. How far does a person travel if he completes 2 rounds on the track?

• A) 100π m
• B) 200π m
• C) 300π m
• D) 400π m

Q16: 19. If the area of a circle is 64π sq. units, what is its radius?

• A) 4 units
• B) 8 units
• C) 16 units
• D) 32 units

Q17: 20. What is the equation of a circle with center (-1, 2) and radius 5?

• A) (x + 1)^2 + (y - 2)^2 = 25
• B) (x - 1)^2 + (y + 2)^2 = 25
• C) (x + 1)^2 + (y - 2)^2 = 5
• D) (x - 1)^2 + (y + 2)^2 = 5

Q18: 21. The circumference of a circle is 36π cm. What is its diameter?

• A) 6 cm
• B) 12 cm
• C) 18 cm
• D) 24 cm

Q19: 23. If the radius of a circle is 7 cm, what is the length of an arc subtended by a central angle of 90 degrees?

• A) 7π cm
• B) 14π cm
• C) 21π cm
• D) 28π cm

Q20: 24. A circular pond has a diameter of 20 meters. What is the circumference of the pond?

• A) 20π m
• B) 40π m
• C) 60π m
• D) 80π m