Area Problems The ratio of the radii of two circle is 1:3 the radio of their areas is? None of these 1:6 1:3 1:9 None of these 1:6 1:3 1:9 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 ratio of the area of a square to that of the square drawn on its diagonal is 4:1 1:2 2;3 3:1 4:1 1:2 2;3 3:1 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP atio = a 2 2 a 2
Area Problems The diagonals of a squares is 4?2 cm. The diagonal of another square whose area is double that of the first square is 6 cm 8?2 cm 8 cm 4?2 cm 6 cm 8?2 cm 8 cm 4?2 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Diagonal of square = ?2a [a = side]4?2 = ?2 a a = 4 cmNow, area of square = a2 = (42) = 16Side of a square whose area is 2 x 16.a12 = 32 ? a1 = ?32 ?a14?2Now, diagonal of new square = ?2a = ?2x 4 ?2 = 8 cm
Area Problems The area of an equilateral triangle is ? 243 /4 sq cm. Find the length of its side. 9 cm 3 cm 3?3 cm ?3 cm 9 cm 3 cm 3?3 cm ?3 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP According to the question,area = ?3a2/4 = ?243 /4? a2 = ?81 x 3/?3 ? a = ?9 = 3 cm
Area Problems The radius of a circular field is 25 m. Find the area of the field. 125 ? sq m 135 ? sq m 625 ? sq m 25 ? sq m 125 ? sq m 135 ? sq m 625 ? sq m 25 ? sq m ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Required area = ?r2 = ? x 25 x 25 = 625? sq m.
Area Problems The ratio between the perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle? 18 cm 24 cm Data inadequate None of these 18 cm 24 cm Data inadequate None of these ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 2(l + b) = 5 b 1 ⟹ 2l + 2b = 5b ⟹ 3b = 2l b = 2 l 3 Then, Area = 216 cm2 ⟹ l x b = 216 ⟹l x 2 l = 216 3 ⟹ l2 = 324 ⟹ l = 18 cm
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