Area Problems The area of sector of a circle of radius 5 cm, formed by an arc of length 3.5 cm is? 17.5 sq.cms 55 sq.cms 8. 75 sq.cms 35 sq.cms 17.5 sq.cms 55 sq.cms 8. 75 sq.cms 35 sq.cms ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of sector = ( arc length x radius ) / 2 cm2= (3.5 x 5 ) / 2= 8.75 cm2
Area Problems The perimeter of a rectangle having area equal to 144 cm 2 and sides in the ratio 4 : 9 is 52 cm 64 cm 56 cm 60 cm 52 cm 64 cm 56 cm 60 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let l = 4k and b = 9kArea of rectangle = l x b144 = 4k x 9k ? k2 = 144/36 ? k2 = 4? k = 2? l = 8 cm and b = 18 cmPerimeter of rectangle = 2(l + b)= 2(8 + 18)= 2 x 26= 52 cm
Area Problems Three circles of radius 3.5cm are placed in such a way that each circle touches the other two. The area of the portion enclosed by the circles is 1.967 1.567 1.867 1.767 1.967 1.567 1.867 1.767 ANSWER DOWNLOAD EXAMIANS APP
Area Problems If the radius of a circle be reduced by 50%. Its area is reduced by? 34.5% 39.5% 65.5% 31.5% 34.5% 39.5% 65.5% 31.5% 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 wheel of an engine turns 350 times round its axle to cover a distance of 1.76 km. The diameter of the wheel is 3 cm 9 cm 3?3 cm ?3 cm 3 cm 9 cm 3?3 cm ?3 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Distance covered in 1 round = (Total Distance) / (Total round)= (1.76 x 1000)/350= 176/35 m ? 2?r = (1.76 x 100) / 35 cm2? = Diameter = 17600 x 7/22 x 35 = 160 cm
Area Problems The perimeter of two square is 12 cm and 24 cm. The area of the bigger square is how many times that of the smaller? 3 times 2 times 4 times 5 times 3 times 2 times 4 times 5 times ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Ratio of area of 2 squares = (ratio of perimeter of 2 squares)2= (24/12)2= 4
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