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#### Measurements Model Question Paper

8th Standard EM

Reg.No. :
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Maths

Time : 01:00:00 Hrs
Total Marks : 40
5 x 1 = 5
1. A part of the circumference of a circle is called

(a)

circular arc

(b)

segment

(c)

sector

(d)

chord

2. Perimeter of a sector is

(a)

$\frac{lr}{2}$

(b)

$\frac{l+r}{2}$

(c)

l+2r

(d)

$\pi$+2

3. A closed plane figure formed by three or more sides is called a

(a)

(b)

pentagon

(c)

triangle

(d)

polygon

4. The __________ of a combined shape is the sum of all areas of all areas of simpler shapes on it.

(a)

perimeter

(b)

face

(c)

volume

(d)

area

5. The line segment which connects any two faces are called ______.

(a)

edges

(b)

vertices

(c)

shape

(d)

faces

6. 5 x 2 = 10
7. For the sectors with given measures, find the length of the arc, area and perimeter.(π=3.14)
(i) central angle 45º , r = 16 cm
(ii) central angle 120º, d =12.6 cm
(iii) central angle 60º, r =36 cm
(iv) central angle 72º, d =10 cm

8. Answer the following questions:
A circle of radius 120 m is divided into 8 equal sectors. Find the length of the arc of each of the sectors.

9. A sector of radius 4.2 cm has an area 9.24 cm2. Find its perimeter.

10. All the sides of a rhombus are equal. Is it a regular polygon?

11. In the above example split the given mat as into two trapeziums and verify your answer

12. 5 x 3 = 15
13. The radius of a sector is 21cm and its central angle is 120 °. Find perimeter of sector.

14. A circular shaped gymnasium ring of radius 35cm is divided into 5 equal arcs shaded with different colours. Find the length of each of the arcs.

15. If the radius of a circle decreases by 10% then what is the decreases in area?

16. If the area of a square is same as area of a circle, find the ratio of their perimeters.

17. Find r1 + r2 if the sum of the areas of two circles with radii r1 and r2 is equal to the area of a circle of radius r.

18. 2 x 5 = 10
19. A 3-fold invitation card is given with measures as in the Fig.2.32. Find its area.

20. Find the perimeter of sector whose area is 324 sq. em and radius is 27 cm.