Area Problems If the sides of a rectangle are increased by 10% find the percentage increased in its diagonals. 15% 20% 18% 10% 15% 20% 18% 10% ANSWER EXPLANATION DOWNLOAD EXAMIANS APP According to the formula,? Percentage increase in sides = 10%? Percentage increase diagonals = 10%
Area Problems If the diameters of a circle is increased by 100% . Its area is increased by? 100% 400% 300% 200% 100% 400% 300% 200% 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%
Area Problems The ratio of the area of the circumcircle and the incircle of a square is 1 : 2 ?2 : 1 1 : ?2 2 : 1 1 : 2 ?2 : 1 1 : ?2 2 : 1 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Ratio of the areas of the circumcircle and incircle of a square = [(Diagonal)2?] / [(Side)2?]= [(Side x ?2)2] / (Side)2 = 2/1 or 2 : 1
Area Problems A circle and a square have same area. The ratio of the side of the square and the radius of the circle is? ? : 1 1 : ? 1 : ?? ?? : 1 ? : 1 1 : ? 1 : ?? ?? : 1 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? Area of square = Area of circle ? x2 = ?r2? x/r = ?? = ? ? : 1
Area Problems The area of a rectangle is 460 square metres. If the length is 15% more than the breadth, what is the breadth of the rectangular field? 20 m 40 m 50 m 30 m 20 m 40 m 50 m 30 m ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let breadth = x meters. Then, Length = 115x / 100 meters Given that, X × (115X / 100) = 460 => X = 20
Area Problems The altitude of an equilateral triangle of side 2 ? 3 cm is? ? 3/2 cm 3 cm ? 3/4 1/2 cm ? 3/2 cm 3 cm ? 3/4 1/2 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? 1/2 x 2 ? x h = ?3/4 x (2 ?3)2? h = 3 cm.
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