Mensuration Test

1. An arc of a circle of radius 7 cm subtends an angle of 360at the centre. Find the length of the arc.
2. Length of the arc of a circle is 44 cm. If the radius of the circle is 21 cm, find the angle subtended by the arc at the centre.
3. A sector of with circle of radius 10 cm has central angle 720. Find the area of the sector. (=3.14).
4. The radius of the circle is 3.5 cm and the area of sector is 3.85 sq. cm. Find the measure of the arc of the circle.
5. Find the area of the sector of a circle of radius 6 cm and arc with length 15 cm.
6. Find the length of the arc of the circle of diameter 8.4 cm with area of the sector 18.48 sq. cm. Also find measure of the arc.
7. Find the area of minor segment of a circle of radius 6 cm when its chord subtends an angle of 600 degree at its centre. (3=1.73)
8. Verify Euler’s formula for the sold.
9. The dimensions of a cuboid in cm are  201810. Find its volume.
10. A container used for transportation has capacity 34.5 cu. cm. The length and breadth of the container are 5 m and 2.3 m respectively. Find the height of the container.