Relation between Area of the Sector and Length of an Arc

Q. Area of minor segment + Area of major sector = Area of the circle.

1. False
2. True

Q. Area of a sector of a circle of radius 7 m is 21 m^2. Find the length of the arc of the sector.

1. 6 metre
2. 7 metre
3. 8 metre
4. 9 metre

Q. The area of the major sector is greater than the area of the minor sector in a circle.

1. True
2. False

Q. The area of a sector whose central angle is 270 degrees is ____ of the area of the circle.

1. 25%
2. 50%
3. 66.67%
4. 75%

Q. If the area of a sector of a circle is 577.5 $c{m}^2$ and the length of the corresponding arc is 55 cm, then the radius of the circle is .

1. 12 cm
2. 18 cm
3. 21 cm
4. 24 cm

Q. The perimeter of a sector of a circle is 37cm. If its radius is 7cm, then its arc length is

1. 23 cm
2. 5.29 cm
3. 32 cm
4. 259 cm

Q. The perimeter of a certain sector of a circle of radius $6.5cm$ is $31cm$. Find the area of the sector.

Q. Area of minor segment + Area of major sector = Area of the circle.

1. False
2. True

Q. The area of a sector whose central angle is 270 degrees is ____ of the area of the circle.

1. 25%
2. 50%
3. 66.67%
4. 75%

Q. When a circle is cut into eighths, those sectors are called as..........

1. Sextants
2. Quadrants
3. None of these
4. Octants