AREA AND PERIMETER (CDS)

Total Questions: 116

1. The area of a sector of a circle of radius 4 cm is 25.6 cm² . What is the radian measure of the arc of the sector? [2019 (II) Evening Shift]

Correct Answer: (b) 3.2
Solution:Area of a sector = 25 6. cm²

2. The perimeter of a triangle is 22 cm. Through each vertex of the triangle, a straight line parallel to the opposite side is drawn. What is the perimeter of triangle formed by these lines? [2019 (II) Evening Shift]

Correct Answer: (b) 44 cm
Solution:


3. If l is the length of the median of an equilateral triangle, then what is its area? [2019 (II) Evening Shift]

Correct Answer: (a)
Solution:

4. A piece of wire is in the form of a sector of a circle of radius 20 cm, subtending an angle 150° at the centre. If it is bent in the form of a circle, then what will be its radius? [2019 (II) Evening Shift]

Correct Answer: (d) None of these
Solution:Radius = 20 cm

5. An equilateral triangle and a square are constructed using metallic wires of equal length. What is the ratio of area of triangle to that of square? [2019 (II) Evening Shift]

Correct Answer: (c) 4√3 : 9
Solution:Let side of triangle be ‘x’ unit.

6. All the four sides of a parallelogram are of equal length. The diagonals are in the ratio 1 : 2. If the sum of the lengths of the diagonals is 12 cm, then what is the area of the parallelogram? [2019 (II) Evening Shift]

Correct Answer: (c) 16 cm²
Solution:If all the sides of a parallelogram is equal that mean its a rhombus.

7. ABC is a triangle right angled at B. If AB = 5 cm and BC = 10 cm, then what is the length of the perpendicular drawn from the vertex B to the hypotenuse? [2019 (II) Evening Shift]

Correct Answer: (b) 2√5 cm
Solution:

8. The length and breadth of a rectangle are increased by 20% and 10%, respectively. What is the percentage increase in the area of the rectangle? [2019 (II) Evening Shift]

Correct Answer: (a) 32%
Solution:Let length and breadth of rectangle be x and y.


9. If the length of the hypotenuse of a right angled triangle is 10 cm, then what is the maximum area of such a right angled triangle? [2019 (II) Evening Shift]

Correct Answer: (c) 25 cm²
Solution:

10. A square is drawn such that its vertices are lying on a circle of radius 201 mm. What is the ratio of area of circle to that of square? [2019 (II) Evening Shift]

Correct Answer: (a) 11 : 7
Solution: