Area Problems The area of a circular field is 13.86 hectares . The cost of fencing it at the rate of 20 paisa per meter is? Rs. 264 Rs. 198 Rs. 277.20 Rs. 324 Rs. 264 Rs. 198 Rs. 277.20 Rs. 324 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? 22/7 x r2 = 13.86 x 10000? r2 = (13.86 x 10000 x 7) / 22? r = 210 m ? Circumference = [2 x (22/7) x 210 ] m = 1320 m Cost of fencing = Rs. (1320 x 20)/100= Rs . 264
Area Problems Area of a square is 1/2 hectare. The diagonal of the square is? 100 meter 50? 2 meter 250 meter 50 meter 100 meter 50? 2 meter 250 meter 50 meter ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area = 1/2 hectare = 10000 / 2 m2= 5000 m2Again Area = 1/2 x (Diagonal)2So 1/2 x (Diagonal)2 = 5000m2? Diagonal2= 10000 ? Diagonal = 100
Area Problems The ratio of the radii of two circle is 1:3 the radio of their areas is? 1:9 1:6 None of these 1:3 1:9 1:6 None of these 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 diagonals of two squares are in the ratio of 3 : 2. Find the ratio of their areas. 9 : 2 9 : 4 9 : 5 9 : 7 9 : 2 9 : 4 9 : 5 9 : 7 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 A rectangle has 15 cm as its length and 150 cm 2 as its area .Its area is increased to 1 1 / 3 times the original area by increasing only its length . Its new perimeter is? 80 cm 60 cm 50 cm 70 cm 80 cm 60 cm 50 cm 70 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Breadth of the rectangle = (150/15) cm= 10 cmNew area = (4/3 x 150) cm2= 200 cm2New length = 200/10 cm=20 cmNew perimeters = 2(20 + 10) cm= 60 cm
Area Problems The area of the largest circle that can be drawn inside a rectangle with sides 18cm by 14cm is 49 1078 154 378 49 1078 154 378 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP The diameter is equal to the shortest side of the rectangle. So radius= 14/2 = 7cm. Therefore, area of circle = (r)2 = (22/7) x 49 = 154 cm2
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