Area Problems If 88 m wire is required to fence a circular plot of land, then the area of the plot is? None of these 526 m2 556 m2 616 m2 None of these 526 m2 556 m2 616 m2 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Circumference of circular plot= 88 m? 2 x (22/7) x r = 88? r = 88 x (7/22) x (1/2) = 14 m Now area = ?r2=( 22/7) x 14 x 14 m2= 616 m2
Area Problems The length and breadth of a playground are 36 m and 21 m respectively. Flagstaffs are required to be fixed on all along the boundary at a distance of 3 m apart. The number of flagstaffs will be? 39 38 37 40 39 38 37 40 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Perimeter = 2 x (36 + 21 ) m = 144 m ? Number of flagstaffs = 144 / 3 = 38
Area Problems The length of each side of an equilateral triangle having an area of 4?3 cm 2 is? 4 cm 3 cm ?3/4 cm 4/?3 cm 4 cm 3 cm ?3/4 cm 4/?3 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of equilateral triangle = ?3/4 a2 = 4?3.? a2 = 16? a = 4 cm
Area Problems The area of an equilateral triangle whose side is 8 cms is? 64 cm2 4?3 cm2 21.3 cm2 16?3 cm2 64 cm2 4?3 cm2 21.3 cm2 16?3 cm2 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Req. Area = ?3/4 x a2 = ?3/4 x 82 cm2= 16?3 cm2
Area Problems The ratio of the area of square of side a and equilateral triangle of side a is? 4 :3 2 :1 2 : ?3 4 : ?3 4 :3 2 :1 2 : ?3 4 : ?3 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Ratio of area = a2/ ?(3/4) a2= 4/?3 = 4:?3
Area Problems If the diameters of a circle is increased by 100% . Its area is increased by? 400% 100% 200% 300% 400% 100% 200% 300% ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Original area = ?(d/2)2= (?d2) / 4New area = ?(2d/2)2= ?d2Increase in area = (?d2 - ?d2/4)= 3?d2/4? Required increase percent = [(3?d2)/4 x 4/(?d2) x 100]%= 300%
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