2D mensuration test 3 Welcome to your 2D mensuration test 3 Name Email 1. A circle is inscribed in an equilateral triangle of side 8 cm. The area of the portion between the triangle and the circle is (a) 11 cm2 (b) 10.95 cm2 (c) 10 cm2 (d) 10.50 cm2 None 2. In a triangular field having sides 30m, 72m and 78m, the length of the altitude to the side measuring 72m is : (a) 25 m (b) 28 m (c) 30 m (d) 35 m None 3.The measures (in cm) of sides of a right angled triangle are given by consecutive integers. its area (in cm2 ) is (a) 9 (b) 8 (c) 5 (d) 6 None 4.The length (in cm) of a chord of a circle of radius 13 cm at a distance of 12 cm from its centre is (a) 5 (b) 8 (c) 10 (d) 12 None 5. At each corner of a triangular field of sides 26 m, 28 m and 30 m, a cow is tethered by a rope of length 7m, the area (in m) un grazed by the cows is (a) 336 (b) 259 (c) 154 (d) 77 None 6.The area of a circle with circumference 22cm is (a) 38.5 cm² (b) 39 cm² (c) 36.5 cm² (d) 40 cm² None 7.The length of two sides of an isosceles triangle are 15 and 22 respectively. What are the possible values of perimeter ? (a) 52 or 59 (b) 52 or 60 (c) 15 or 37 (d) 37 or 29 None 8.The diameter of a wheel is 98 cm. The number of revolutions in which it will have to cover a distance of 1540 m is (a) 500 (b) 600 (c) 700 (d) 800 None 9.The wheel of a motor car makes 1000 revolutions in moving 440 m. The diameter (in metre) of the wheel is (a) 0.44 (b) 0.14 (c) 0.24 (d) 0.34 None 10. If chord of length 16 cm is at a distance of 15 cm from the centre of the circle, then the length of the chord of the same circle which is at a distance of 8 cm from the centre is equal to (a) 10 cm (b) 20 cm (c) 30 cm (d) 40 cm None 11.The perimeter of a triangle is 40cm and its area is 60 cm2 . If the largest side measures 17 cm, then the length ( in cm ) of the smallest side of the triangle is (a) 4 (b) 6 (c) 8 (d) 15 None 12.The length of three medians of a triangle are 9 cm, 12 cm and 15 cm. The area ( in sq. cm) of the triangle is (a) 24 (b)72 (c) 48 (d)144 None 13.The area of the triangle formed by the straight line 3x +2y = 6 and the co-ordinate axes is (a)3 square units (b)6 square units (c) 4 square units (d)8 square units None 14.The area of a circle is increased by 22 cm2 when its radius is increased by 1 cm. The original radius of the circle is (a)3 cm (b) 5 cm (c) 7cm (d) 9 cm None 15.The radii of two circles are 5 cm and 12 cm. The area of a third circle is equal to the sum of the area of the two circles. The radius of the third circle is : (a)13 cm (b) 21 cm (c) 30 cm (d) 17 cm None 16.The perimeter of a semicircular path is 36 m. Find the area of this semicircular path. (a)42 sq. m (b) 54 sq. m (a)63 sq. m (d) 77 sq. m None 17. If the perimeter of a right angled triangle is 56 cm and area of the triangle is 84 sq. cm, then the length of the hypotenuse is (in cm) (a) 25 (b) 50 (c) 7 (d) 24 None 18. A gear 12 cm in diameter is turning a gear 18 cm in diameter. When the smaller gear has 42 revolutions. how many has the larger one made? (a) 28 (b) 20 (c) 15 (d) 24 None 19. The area (in sq. unit) of the triangle formed in the first quadrant by the line 3x +4y =12 is (a) 8 (b) 12 (c) 6 (d) 4 None 20. The sides of a triangle are 16 cm, 12 cm and 20 cm. Find the area, (a) 64 cm2 (b) 112 cm2 (c) 96 cm2 (d) 81 cm2 None Time's up
