Area Problems The side of a square is 5 cm which is 13 cm less than the diameter of a circle. What is the approximate area of the circle? 245 sq cm 255 sq cm 265 sq cm 235 sq cm 245 sq cm 255 sq cm 265 sq cm 235 sq cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Diameter of the circle = 13 + 5 = 18 cm? Radius = Diameter/2 =18/2 = 9 cm Area of the circle = ?r2 = (22/7) x 92 = (22 x 81)/9 = 1782/7 = 254.57 sq cm= 255 sq cm
Area Problems If the length of diagonal AC of a square ABCD is 5.2 cm then area of the square ABCD is? 13.52 sq.cm 15.12 sq.cm 10 sq.cm 12.62 sq.cm 13.52 sq.cm 15.12 sq.cm 10 sq.cm 12.62 sq.cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area = 1/2 x (Diagonal)2= (1/2) x 5.2 x 5.2 cm2= 13.52 cm2
Area Problems The length of hall is (4/3) times its breadth. If the area of hall be 300 square meters, the difference between the length and the breadth is? 3 meters 15 meters None of these 4 meters 3 meters 15 meters None of these 4 meters ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let breadth = b meters.Then, length = 4b/3 meters.? b x 4b/3 = 300? b2 = 300 x 3/4 ? b2 = 225? b = 15Hence, required difference = [(Length) - (Breadth) ]= 4b/3 - b = b/3= 15/3 m= 5 m
Area Problems The length of minute hand of a wall clock is 7 cms. The area swept by minute hand in 30 minutes is? 147 sq. cm 154 sq. cm 77 sq. cm 210 sq. cm 147 sq. cm 154 sq. cm 77 sq. cm 210 sq. cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Angle swept in 30 min= 180° Area swept = [(22/7) x 7 x 7] x [180°/360°] cm2 = 77 cm2
Area Problems Four horses are be tethered at four concern of a square plot of side 63 meters, so that they just cannot reach one another. The area left ungrazed is? 785.8 m2 675.5 m2 780.6 m2 850.5 m2 785.8 m2 675.5 m2 780.6 m2 850.5 m2 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area left ungrazed = [(63 x 63) - (4 x 1/4 x 22/7 x (63/2)2] m2= (63 x 63 - (99 x 63)/2 ) m2= 63 x (63 - 99/2) m2= 850.5 m2
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? 12 cm 14cm 13 cm None of these 12 cm 14cm 13 cm None of these 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
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