Area Problems The ratio of the radii of two circle is 1:3 the radio of their areas is? 1:9 None of these 1:6 1:3 1:9 None of these 1:6 1:3 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 length and breadth of a square are increased by 40% and 30% respectively. The area of a resulting rectangle exceeds the area of the square by? 62% 42% 82% None of these 62% 42% 82% None of these ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the side of the square = 100 m So area of square = 100 x 100 = 10000.New length = 140 m, New breadth = 130 mIncrease in area = [(140 x 130) - (100 x 100)] m2= 8200 m2? Required increase percent = (8200/ 10000) x 100 % = 82%
Area Problems If the sides of a squares is increased by 25%, then the area of the squares will be increased by 56.25% 125% 53.75% 50% 56.25% 125% 53.75% 50% ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Required increment = 2a + [a2 / 100] %= 2 x 25 + [(252)/100)] %= 50 + (625/100)% = 56.25%
Area Problems One side of a parallelogram is 14 cm. Its distance from the opposite side is 16 cm. The area of the parallelogram is? 112 sq. cm 224 sq. cm 56? sq. cm 210 sq. cm 112 sq. cm 224 sq. cm 56? sq. cm 210 sq. cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of parallelogram = Side of parallelogram x distance from the opposite side= 14 x 16 cm2= 224 cm2
Area Problems if the side of a square be increased by 4 cms. The area increased by 60 sq. cms . The side of the square is? 14cm 12 cm None of these 13 cm 14cm 12 cm None of these 13 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let each side = x cmThen, (x + 4 )2 - x2 = 60? x 2 + 8x + 16 - x2 = 60? x = 5.5 cm
Area Problems The area of the sector of a circle, whose radius is 12 meters and whose angle at the centre is 42, is? 79.2 sq. meters 52.8 sq. meters 26.4 sq. meters 39.6 sq. meters 79.2 sq. meters 52.8 sq. meters 26.4 sq. meters 39.6 sq. meters ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of the sector = [(22/7) x 12 x 12] x [42°/360°] m2 = 52.8 m2