2D mensuration test 4

1.The altitude drawn to the base of an isosceles triangle is 8 cm and its perimeter is 64 cm. The area (in cm2 ) of the triangle is

2.The radii of two circles are 10 cm and 24 cm. The radius of a circle whose area is the sum of the area of these two circles is

3.The area of two similar triangles ABC and DEF are 20cm2 and 45 cm2 respectively. If AB =5 cm, then DE is equal to

4. From a point P which is at a distance of 13 cm from centre O of a circle of radius 5 cm in the same plane, a pair of tangents PQ and PR are drawn to the circle Area of quadrilateral PQOR is

5.Three sides of a triangular field are of length 15 m, 20m and 25 m long respectively. Find the cost of sowing seeds in the field at the rate of 5 rupees per sq. m

6. A chord of length 30 cm is at a distance of 8 cm from the centre of a circle. The radius of the circle is:

7.The radius of the incircle of a triangle whose sides are 9 cm, 12 cm and 15 cm is

8. A wire of length 44 cm is first bent to form a circle and then rebent to form a square. The difference of the two enclosed areas is

9. If the lengths of the sides AB, BC and CA of a triangle ABC are 10 cm, 8 cm and 6 cm respectively and If M is the mid-point of BC and MN  AB to cut AC at N. then area of the trapezium ABMN is equal to

10.Two sides of a plot measuring 32 m and 24 m and the angle between them is a perfect right angle. The other two sides measure 25 m each and the other three angles are not right angles. The area of the plot in m2 is

11. If the numerical value of the height and the area of an equilateral triangle be same. then the length of each side of the triangle is

12.The external fencing of a circular path around a circular plot of land is 33m more than its interior fencing. The width of the path around the plot is

13. A circular wire of diameter 112 cm is cut and bent in the form of a rectangle whose sides are in the ratio of 9 : 7. The smaller side of the rectangle is

14.Two equal maximum sized circular plates are cut off from a circular paper sheet of circumference 352 cm. Then the circumference of each circular plate is

15.The perimeters of a circle, a square and an equilateral triangle are same and their areas are C, S and T respectively. Which of the following statement is true ?

16.The sides of a triangle having area 7776 sq. cm are in the ratio 3 : 4 : 5. The perimeter of the triangle is:

17.The outer and inner diameter of a circular path be 728 cm and 700 cm respectively. The breadth of the path is

18. A piece of wire when bent to form a circle will have a radius of 84 cm. If the wire is bent to form a square, the length of a side of the square is

19.The inner-radius of a triangle is 6 cm, and the sum of the lengths of its sides is 50 cm. The area of the triangle (in sq. cm.) is

20. One of the angles of a rightangled triangle is 15°, and the hypotenuse is 1 m. The area of the triangle (in sq. cm.) is