Area Problems The diameter of a circle is 105 cm less than the circumference. What is the diameter of the circle? 46 cm 44 cm 48 cm 49 cm 46 cm 44 cm 48 cm 49 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? ?d-d = 105 cm ? (? -1 ) d = 105 cm? [(22/7)-1] x d = 105 cm? d = (7/15) x 105 cm = 49 cm
Area Problems The ratio of the radii of two circle is 1:3 the radio of their areas is? 1:6 None of these 1:9 1:3 1:6 None of these 1:9 1:3 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 area of a square is equal to the area of a rectangle. The length of the rectangle is 5 cm more than a side of the square and its breadth is 3 cm less than the side of the square. What is the perimeter of the rectangle ? 26 cm 34 cm 15 cm 18 cm 26 cm 34 cm 15 cm 18 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the side of the square be 's' cm length of rectangle = (s+5) cm breadth of rectangle = (s-3)cm (s+5) (s-3) = s 2 - 5s - 3s - 15 = s 2 2s = 15 Perimeter of rectangle = 2(L+B) = 2(s+5 + s?3) = 2(2s + 2) = 2(15 + 2) = 34 cm
Area Problems If the circumference of a circle is the 352 meters, then its area in m square is? 9856 6589 8956 5986 9856 6589 8956 5986 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP circumference = 2?r = 2 x (22 / 7) x r = 352? r = (352 x 7) / (22 x 2) =56 cmNow area = ?r2 = (22 / 7) x 56 x 56 m2= 9856 m2
Area Problems The diagonal of a rectangle is √41 cm and its area is 20 sq. cm. The perimeter of the rectangle must be: 9 cm 20 cm 18 cm 41 cm 9 cm 20 cm 18 cm 41 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP √l2 + b2 = √41. Also, lb = 20. (l + b)2 = (l2 + b2) + 2lb = 41 + 40 = 81 ⟹ (l + b) = 9. ∴ Perimeter = 2(l + b) = 18 cm
Area Problems Area of a four walls a room is 168 Sq. meters . The breadth and height of a room are 8 meters and 6 meters respectively . The length of the room is? 6 meters 3.5 meters 14 meters 12 meters 6 meters 3.5 meters 14 meters 12 meters ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of a four walls = 2(l + 8) x 6 = 168m2? (l + 8) = 14? l = 14-8= 6 meters
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