Area

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81 If area of a square is 44 sq cm, find the area of the circle formed by the same perimeter:

A
54 sq cm
B
64 sq cm
C
56 sq cm
D
76 sq cm

82 The inner circumference of a circular race track 7 m wide is 440 m. Find the radius of the outer circle:

A
57 m
B
68 m
C
77 m
D
69 m

83 Find the area of a square inscribed in a circle of radius 5 cm:

A
45 c.m°
B
35 c.m°
C
65 c.m°
D
50 c.m°

84 A farmer wishes to start a 100 m° rectangular vegetable garden. Since he has only 30 m barbed wire, he fences three sides of the garden setting his house compound wall act as the fourth side fencing. The dimension of the garden is

A
15 m×6.67 m
B
20 m×5 m
C
30 m×3.33 m
D
40 m×2.5 m

85 Two isosceles triangles have equal vertical angles and their corresponding sides are in the ratio of 3 : 7. What is the ratio of their areas?

A
9 : 7
B
2 : 1
C
9 : 49
D
7 : 9

86 The area of the incircle of an equilateral triangle of side 42 cm is

A
22a cm°
B
231 cm°
C
462 cm°
D
924 cm°

87 Find the diameter of a wheel that makes 113 revolutions to go 2 km 26 decemetres:

A
6 4/11
B
4 3/11
C
4 5/11
D
3 4/11

88 If the radius of a circle is increased by 6%, find the percentage increase in it's area:

A
15%
B
12.36%
C
8.39%
D
17%

89 If diameter of a circle is increased by 12.5%, find the percentage increase in it's perimeter:

A
11.5%
B
12.5%
C
13.5%
D
14.5%

90 Among a square of perimeter 44 cm and a circle of circumference 44 cm, which figure has larger area and by how much?

A
Both have equal area
B
Square, 33 cm°
C
Circle, 33 cm°
D
Square, 495 cm°