Area Problems The ratio of the corresponding sides of two similar triangles is 3 : 4, The ratio of their areas is? 4 : 3 9 : 16 ? 3: 2 3 : 4 4 : 3 9 : 16 ? 3: 2 3 : 4 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Ratio of similar triangle = Ratio of the square of corresponding sides = (3x)2 / (4x)2 = 9x2 / 16x2 = 9/16 = 9 : 16
Area Problems If 88 m wire is required to fence a circular plot of land, then the area of the plot is? 526 m2 556 m2 None of these 616 m2 526 m2 556 m2 None of these 616 m2 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Circumference of circular plot= 88 m? 2 x (22/7) x r = 88? r = 88 x (7/22) x (1/2) = 14 m Now area = ?r2=( 22/7) x 14 x 14 m2= 616 m2
Area Problems The diagonals of two squares are in the ratio of 3 : 2. Find the ratio of their areas. 9 : 7 9 : 5 9 : 2 9 : 4 9 : 7 9 : 5 9 : 2 9 : 4 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the diagonals of the squares be 3x and 2x.? Ratio of their areas = [(1/2) (3x2)] / [(1/2) (2x2)] = 9/4
Area Problems Three circles of radius 3.5cm are placed in such a way that each circle touches the other two. The area of the portion enclosed by the circles is 1.567 1.767 1.867 1.967 1.567 1.767 1.867 1.967 ANSWER DOWNLOAD EXAMIANS APP
Area Problems The inner circumference of a circular race track, 14 m wide is 440 m . Then the radius of the outer circle is? 84 m 70 m 56 m 77 m 84 m 70 m 56 m 77 m ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Circumference of a circular = 2?r? 2 x (22 / 7) x r = 440? r = [440 x (7/22) x (1/2)] = 70 m? Radius of outer circle = (70 + 14) m = 84 m
Area Problems If area of a square is 64 sq cm, then find the area of the circle formed by the same perimeter. 216/? sq cm 318/? sq cm 215/? sq cm 256/? sq cm 216/? sq cm 318/? sq cm 215/? sq cm 256/? sq cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of square = 64 sq cm (Side)2 = 64 ? Side = ?64 = 8 cmAccording to the question,? 2?r = 4 x 8 ? r = (4 x 8)/2?? r = 16/?? Area of the circle = ? x (16/?) x (16/?) sq cm = 256/? sq cm.
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