Areas Related to Circles Mathematics 10th Test
1. The region enclosed by a circle is called:
A. Circumference
B. Arc
C. Area of Circle
D. Chord
A. Circumference
B. Arc
C. Area of Circle
D. Chord
2. The formula for the area of a circle is:
A. πr
B. 2πr
C. πr²
D. r²
A. πr
B. 2πr
C. πr²
D. r²
3. The formula for the circumference of a circle is:
A. πr²
B. 2πr
C. πd²
D. r²
A. πr²
B. 2πr
C. πd²
D. r²
4. If the radius of a circle is 7 cm, its diameter is:
A. 7 cm
B. 14 cm
C. 21 cm
D. 28 cm
A. 7 cm
B. 14 cm
C. 21 cm
D. 28 cm
5. The value of π is approximately:
A. 2.14
B. 3.14
C. 4.14
D. 5.14
A. 2.14
B. 3.14
C. 4.14
D. 5.14
6. A sector is:
A. A complete circle
B. A region enclosed by two radii and an arc
C. A chord
D. A tangent
A. A complete circle
B. A region enclosed by two radii and an arc
C. A chord
D. A tangent
7. A semicircle is:
A. One-fourth of a circle
B. Half of a circle
C. Full circle
D. Double circle
A. One-fourth of a circle
B. Half of a circle
C. Full circle
D. Double circle
8. The angle subtended by a semicircle at the center is:
A. 90°
B. 180°
C. 270°
D. 360°
A. 90°
B. 180°
C. 270°
D. 360°
9. The angle subtended by a quadrant at the center is:
A. 45°
B. 90°
C. 180°
D. 360°
A. 45°
B. 90°
C. 180°
D. 360°
10. A quadrant is:
A. Half circle
B. One-third circle
C. One-fourth circle
D. Full circle
A. Half circle
B. One-third circle
C. One-fourth circle
D. Full circle
11. The area of a semicircle is:
A. πr²
B. 2πr²
C. ½πr²
D. ¼πr²
A. πr²
B. 2πr²
C. ½πr²
D. ¼πr²
12. The area of a quadrant is:
A. ½πr²
B. ¼πr²
C. πr²
D. 2πr²
A. ½πr²
B. ¼πr²
C. πr²
D. 2πr²
13. The perimeter of a circle is called:
A. Radius
B. Area
C. Circumference
D. Diameter
A. Radius
B. Area
C. Circumference
D. Diameter
14. The length of an arc depends on:
A. Radius only
B. Central angle and radius
C. Diameter only
D. Chord only
A. Radius only
B. Central angle and radius
C. Diameter only
D. Chord only
15. The formula for arc length is:
A. (θ/360) × 2πr
B. πr²
C. 2πr²
D. θπr²
A. (θ/360) × 2πr
B. πr²
C. 2πr²
D. θπr²
16. The area of a sector depends on:
A. Radius only
B. Central angle only
C. Radius and central angle
D. Diameter only
A. Radius only
B. Central angle only
C. Radius and central angle
D. Diameter only
17. Formula for area of a sector is:
A. (θ/360)πr²
B. 2πr
C. πr²
D. θπr
A. (θ/360)πr²
B. 2πr
C. πr²
D. θπr
18. If θ = 360°, the sector becomes:
A. Semicircle
B. Quadrant
C. Full Circle
D. Arc
A. Semicircle
B. Quadrant
C. Full Circle
D. Arc
19. If θ = 180°, the sector becomes:
A. Semicircle
B. Quadrant
C. Arc
D. Segment
A. Semicircle
B. Quadrant
C. Arc
D. Segment
20. If θ = 90°, the sector becomes:
A. Semicircle
B. Quadrant
C. Full Circle
D. Arc
A. Semicircle
B. Quadrant
C. Full Circle
D. Arc