Area Problems The ratio of the radii of two circle is 1:3 the radio of their areas is? 1:9 None of these 1:3 1:6 1:9 None of these 1:3 1:6 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP The Radio of areas = area of first circle : area of 2nd circle= ?r2 / ?(3r)2= ?r2/ 9 ?r2= 1/9 = 1: 9
Area Problems The inner circumference of a circular race track, 14 m wide is 440 m . Then the radius of the outer circle is? 70 m 84 m 77 m 56 m 70 m 84 m 77 m 56 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 The diagonal of the floor of a rectangular closet is 7½ feet. The shorter side of the closet is 4½ feet. What is the area of the closet in square feet? 13(1/2) 37 5(1/4) 27 13(1/2) 37 5(1/4) 27 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Other side = (15 / 2) 2 - (9 / 2) 2 ft = (225 / 4) - (81 / 4) ft = 144 / 4 ft = 6 ft Area of closet = (6 x 4.5) sq. ft = 27 sq. ft.
Area Problems The area of a rectangle is 460 square metres. If the length is 15% more than the breadth, what is the breadth of the rectangular field? 30 m 20 m 40 m 50 m 30 m 20 m 40 m 50 m ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let breadth = x meters. Then, Length = 115x / 100 meters Given that, X × (115X / 100) = 460 => X = 20
Area Problems The length of a rectangular field is increased by 60 % . By what percent would the width have to be decreased to maintain the same area? 120% 60% 371/2% 75% 120% 60% 371/2% 75% ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let length = L and breadth = BLet , New breadth = ZThen, New length = ( 160 / 100) L.= 8L / 5? 8L / 5 x Z = LBor Z = 5B/8Decrease in breadth = (B-5B/8)= 3B/8? Decrease in percent = (3B/8 x1/B ) x 100 %= 371/2%
Area Problems Area of a four walls a room is 168 Sq. meters . The breadth and height of a room are 8 meters and 6 meters respectively . The length of the room is? 12 meters 6 meters 3.5 meters 14 meters 12 meters 6 meters 3.5 meters 14 meters ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of a four walls = 2(l + 8) x 6 = 168m2? (l + 8) = 14? l = 14-8= 6 meters
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