If the adjoining figure is a sector of a circle of radius 10.5 c

Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.
Advertisement

 Multiple Choice QuestionsShort Answer Type

41. What is the area of the circle, the circumference of which is equal to the perimeter of a square of side 11 cm.
870 Views

42. A wheel has diameter 84 cm Find how many complete revolutions must it make to cover 792 metres.
449 Views

43. Find the area of a sector of a circle with radius 6 cm and angle at centre 60°.
128 Views

44. Find the radius of a circle if an arc of angle 40° has lenght of 4π cm. Hence, find the area of the sector formed by this arc.
89 Views

Advertisement
45.

In Fig. 12.44, the shape of the top of a table in a restaurant is that of a sector of a circle with centre O and ∠BOD = 90°. If BO = OD = 60 cm, find
(i) the area of the top of the table.
(ii) the perimeter of the table top. [Take π = 3.14]



Fig. 12.44.

1027 Views

Advertisement

46. If the adjoining figure is a sector of a circle of radius 10.5 cm, find the perimeter of the sector.   open parentheses bold Taken bold space bold pi bold space bold equals bold space bold 22 over bold 7 close parentheses.


Here, r = 10.5 cm and ө = 60°


Here, r = 10.5 cm and ө = 60°Now,Length of Arc Now,  Perimeter of
Now,
Length of Arc left parenthesis straight A with overbrace on top space straight B with overbrace on top right parenthesis space equals space 2 space πr space straight x space straight theta over 360
equals space 2 cross times 22 over 7 straight x space 10.5 space straight x space 60 over 360 equals space 11 space cm.
Now,  Perimeter of sector 
            = 2r + length of Arc open parentheses straight A with overbrace on top space straight B with overbrace on top close parentheses
            = 2 x 10.5 + 11 
            = 21 + 11 = 32 cm
1352 Views

Advertisement
47. In Fig 12.45 O is the centre of the circle. The area of sector OAPB is  5 over 18 space of the area of the circle. Find X.


130 Views

48. Find the perimeter of figure where AED with overbrace on top is a semi-circle and ABCD is a rectangle.


1614 Views

Advertisement
49. Let r be the radius and 0 be the angle subtended by radii
99 Views

50. If the diameter of a semicircular protector is 14 cm, then find its perimeter.
300 Views

Advertisement