Area Problems The radius of a circular field is 25 m. Find the area of the field. 25 ? sq m 125 ? sq m 625 ? sq m 135 ? sq m 25 ? sq m 125 ? sq m 625 ? sq m 135 ? sq m ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Required area = ?r2 = ? x 25 x 25 = 625? sq m.
Area Problems The inner circumference of a circular race track, 14 m wide is 440 m . Then the radius of the outer circle is? 84 m 70 m 77 m 56 m 84 m 70 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 Area of a square is 1/2 hectare. The diagonal of the square is? 50? 2 meter 250 meter 100 meter 50 meter 50? 2 meter 250 meter 100 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 If the radius of a circle be reduced by 50%. Its area is reduced by? 39.5% 65.5% 31.5% 34.5% 39.5% 65.5% 31.5% 34.5% 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 If the diagonals of a rhombus are 4.8 cm 1.4 cm, then what is the perimeter of the rhombus? 12 cm 5 cm 10 cm 20 cm 12 cm 5 cm 10 cm 20 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Perimeter of rhombus= 2 ? d12 + d22 = 2 ?(4.8)2 + (1.4)2= 2 ?23.04 + 1.96 = 2 ?25 = 2 x 5 = 10 cm
Area Problems Of the square fields the area of the one is 1 hectare, while the another one is broader by 1% the difference is area is? 100 sq. metres 201 sq. metres 200 sq. metres 101 sq. metres 100 sq. metres 201 sq. metres 200 sq. metres 101 sq. metres ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of the square field = 1 hectare = 10000 m2Side of the square = ? 10000 m = 100 mSide of another square field = 100 + 1 = 101 m? Required difference of area = [(101)2 - (100)2] m2=[(101 + 100 ) (101 - 100) ] m2= 201 m2
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