#### Term 1 Measurements 3 Marks and 5 Marks Questions

8th Standard EM

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Maths

Time : 01:00:00 Hrs
Total Marks : 40
5 x 3 = 15
1. Find the length of arc whose radius is 42 cm and central angle is 600

2. Find the length of the arc whose radius is 10.5 cm and central angle is 36°.

3. Give the net pattern for a tetrahedron.

4. Find the length of an arc if the radius of the circle is 14 cm and area of the circle is 63 cm2.

5. A circular arc whose radius is 12 cm makes an angle 30° at the center. Find the perimeter of the sector formed (ㅠ = 3.14)

6. 5 x 5 = 25
7. Thiyagu has fixed a door for the entrance of his house which is in the shape of a semicircle over a rectangle. The total height and width of the door is 9 feet and 3.5 feet respectively. Find the area of the door. $\left( \pi =\frac { 22 }{ 7 } \right)$

8. A 3-fold invitation card is given with measures as in the Fig.2.32. Find its area.

9. Find the area of the shaded region in the square of side 10cm as given in the fig.2.36

10. Find the area of the sector of circle with radius 4 cm and of angle 30°. Also find the area corresponding to major sector (π = 3.14)

11. An arc of a circle is of length 5π cm and the sector it bounds has an area of 20π cm2 Find the radius of the circle.