The diameter of garden roller is 1.4 m and it is 2 m long. The area covered by the roller in 5 revolution is
4.4 m2
44 m2
16.8 m2
8.8 m2
ABCD is a trapezium, such that AB = CD and AD || BC. AD = 5 cm, BC = 9 cm. If area of ABCD is 35 sq cm, then CD is
5 cm
6 cm
The diameters of two circles are the side of a square and the diagonal of the square. The ratio of the areas of the smaller circle and the larger circle is
1 : 4
1 : 2
Three sides of a triangular field are of length 15 m, 20 m and 25 m long, respectively.
750
150
300
600
If the median drawn on the base of a triangle is half its base, then the triangle will be
obtuse angled
equilateral
right angled
acute angled
A person observed that he required 30 s time to cross a circular ground along its diameter than to cover it once along the boundary. If his speed was 30m/min, then the radius of the circular ground is
10.5 m
3.5 m
5.5 m
7.5 m
If the perimeter of a rectangle and a square are equal and the ratio of two adjacent sides of the rectangle is 1 : 2, then the ratio of area of the rectangle and that of the square is
1 : 1
1 : 2
2 : 3
8 : 9
D.
8 : 9
Let the length of rectangle be 2x and breadth be x
and side of square be a.
According to the question,
4a = 2 (2x + x)
4a = 4x + 2 x
4a = 6x
Area of rectangle
= (2x) x (x) = 2x2
Area of square = a2
∴ Required ratio
If the arcs of square length in two circles subtend angles of 60° and 75° at their centres, the ratio of their radii is
3 : 4
4 : 5
5 : 4
3 : 5
A horse is tied to a post by a rope. If the horse moves along a circular path always keeping the rope stretched and describes 88 m when it has traced out 72° at the centre at the length of the rope is
70 m
75 m
80 m
65 m