Area Problems If the radius of a circle is increased by 6%, find the percentage increase in its area. 17% 8.39% 12.36% 15% 17% 8.39% 12.36% 15% ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given that, a = 6 According to the formula,Percentage increase in area= 2a + [a2/100]%= 2 x 6 + [36/100]%= (12 + 0.36)%= 12.36%
Area Problems The length of a room is 5.5 m and width is 3.75 m. Find the cost of paying the floor by slabs at the rate of Rs. 800 per sq.metre. Rs.16500 Rs.18500 Rs.17500 Rs.15500 Rs.16500 Rs.18500 Rs.17500 Rs.15500 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area = 5.5 × 3.75 sq. metre. Cost for 1 sq. metre. = Rs. 800 Hence total cost = 5.5 × 3.75 × 800 = 5.5 × 3000 = Rs. 16500
Area Problems Find the area of a rectangle having 15m length and 8m breadth. 111 sq m 115 sq m 120 sq m 125 sq m 111 sq m 115 sq m 120 sq m 125 sq m ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Required area = Length x Breadth= 15 x 8 = 120 sq m
Area Problems if the side of a square be increased by 4 cms. The area increased by 60 sq. cms . The side of the square is? None of these 12 cm 13 cm 14cm None of these 12 cm 13 cm 14cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let each side = x cmThen, (x + 4 )2 - x2 = 60? x 2 + 8x + 16 - x2 = 60? x = 5.5 cm
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 The ratio of the area of square of side a and equilateral triangle of side a is? 2 :1 2 : ?3 4 : ?3 4 :3 2 :1 2 : ?3 4 : ?3 4 :3 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Ratio of area = a2/ ?(3/4) a2= 4/?3 = 4:?3
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