If a circle and a semi-circle have the same radius of 14 cm, then the ratio of their perimeters is 

• 3 : 1

• 2 : 1

• 10 : 9

• 11 : 9

The diameter of a circle is 8 cm less than its semi-circumference. Its radius is

• 3.5 cm

• 7 cm

• 5 cm

• 10.5 cm

The perimeter of a rhombus ABCD is 100 cm. If the length of the diagonal AC is 14 cm, the length of the diagonal BD will be

• 24 cm

• 36 cm

• 42 cm

• 42 cm

The area of the region swept by the minute-hand, 7 cm long, of a wall-clock in an interval of 6 minutes is .

• 154 cm²

• 92.4 cm²

• 15.4 cm²

• 1.54 cm²

5.

The perimeter of an equilateral triangle is equal to the circumference of a circle. The ratio of their area is 

• 

• 

• 

• 

The areas of a circle and a square are same. The ratio of the side of the square to the radius of the circle is

• 2π: 1

• 

• 

• 1: 2π

If the radius of a circle is increased by 27%, then its area will increase by

• 61.29%

• 54%

• 27%

• 30.645%

The base angle of an isosceles trapezium is 45°. If the shorter side and both the equal sides are 10 cm each, what is the area of the trapezium?

The length of side AB and side BC of a scalene triangle ABC are 12cm and 8 cm respectively. The size of angle C is 59°. Find the length of side AC.

• 12

• 10

• 14

• 16

A well of diameters 3m is dug 14m deep. The Earth taken out of it has been spread evenly all around it in the shape of a circular ring of width 4m to form an embankment. Find the height of the embankment.

• 4.25 m

• 2.250 m

• 1.125 m

• 1.125 m