Area Problems If the radius of a circle be reduced by 50%. Its area is reduced by? 34.5% 31.5% 65.5% 39.5% 34.5% 31.5% 65.5% 39.5% ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Original area = ? x (r/2)2 = ?r2/4Reduction in area = ? r2 - 3? r2/4? Reduction per cent = [ 3?r2/4 x 4/(?r2) x 100 ] %= 75%
Area Problems The length of hall is (4/3) times its breadth. If the area of hall be 300 square meters, the difference between the length and the breadth is? 15 meters 3 meters 4 meters None of these 15 meters 3 meters 4 meters None of these ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let breadth = b meters.Then, length = 4b/3 meters.? b x 4b/3 = 300? b2 = 300 x 3/4 ? b2 = 225? b = 15Hence, required difference = [(Length) - (Breadth) ]= 4b/3 - b = b/3= 15/3 m= 5 m
Area Problems What is the area of a square having perimeter 68 cm? 284 sq cm 361 sq cm 269 sq cm 289 sq cm 284 sq cm 361 sq cm 269 sq cm 289 sq cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP According to the question,4a = 68 [ where a = side]?a = 68/4 = 17 cm? Required area = a2= (17)2 = 289 sq cm
Area Problems If each side of a square is increased by 25%, find the percentage change in its area. 56.25% 36.25% 12.25% 16.25% 56.25% 36.25% 12.25% 16.25% ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let each side of the square be a. Then, area = . a 2 New side = 125 a 100 = 5 a 4 . New area = 5 a 4 2 = 25 a 2 16 Increase in area = 25 a 2 16 - a 2 = 9 a 2 16 Increase% = 9 a 2 16 * 1 a 2 * 100 % = 56.25%.
Area Problems Find the area of a rectangle having 15m length and 8m breadth. 111 sq m 125 sq m 115 sq m 120 sq m 111 sq m 125 sq m 115 sq m 120 sq m ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Required area = Length x Breadth= 15 x 8 = 120 sq m
Area Problems A circle and a square have same area. The ratio of the side of the square and the radius of the circle is? 1 : ? 1 : ?? ?? : 1 ? : 1 1 : ? 1 : ?? ?? : 1 ? : 1 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? Area of square = Area of circle ? x2 = ?r2? x/r = ?? = ? ? : 1
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