Area Problems What is the diameter of the circle having 3 cm radius? 8 cm 6 cm 12 cm 1.5 cm 8 cm 6 cm 12 cm 1.5 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Radius = Diameter/2 ? Diameter = 2 x Radius = 2 x 3 = 6 cm
Area Problems In a rhombus, whose area is 144 sq.cmone of its diagonal is twice as long as the other, The lengths of its diagonals are? 6 ?2 cm, 12?2 cm 24 cm, 48 cm 6 cm, 12 cm 12 cm, 24 cm 6 ?2 cm, 12?2 cm 24 cm, 48 cm 6 cm, 12 cm 12 cm, 24 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of rhombus = (d1 x d2) / 2? (d x 2d ) / 2 = 144? d2 = 144? d = 12 ? Length of diagonal = 12 cm, 24 cm
Area Problems An error 2% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is: 4.04% 2% 2.02% 4% 4.04% 2% 2.02% 4% ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 100 cm is read as 102 cm. ∴ A1 = (100 x 100) cm2 and A2 (102 x 102) cm2. (A2 - A1) = [(102)2 - (100)2] = (102 + 100) x (102 - 100) = 404 cm2. ∴ Percentage error = ❨ 404 x 100 ❩% = 4.04%
Area Problems The length and perimeter of a rectangle are the ratio of 5 : 18 What well be the ratio of its length and breadth? 4 : 3 3 : 5 5 : 4 4 : 7 4 : 3 3 : 5 5 : 4 4 : 7 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP According to the question,l/[2(l + b)] = 5/18? 10l + 10b = 18l = 10b? l/b = 10/8 = 5/4? l : b = 5 : 4Hence, ratio of length and breadth of a rectangle is 5 : 4
Area Problems The diameter of a circle is 105 cm less than the circumference. What is the diameter of the circle? 49 cm 48 cm 44 cm 46 cm 49 cm 48 cm 44 cm 46 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? ?d-d = 105 cm ? (? -1 ) d = 105 cm? [(22/7)-1] x d = 105 cm? d = (7/15) x 105 cm = 49 cm
Area Problems A wheel make 4000 revolution in moving a distance of 44 km. Find the radius of the wheel. 25 m 28 m 27 m 1.75 m 25 m 28 m 27 m 1.75 m ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Distance covered in 1 revolution = (44 x 1000) / 4000 = 11 mAccording to the question, 2?r = 11 ? (44/7) x r = 11? r = (11 x 7) / 44 = 1.75 m
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