Area Problems Find the length of a rope by which a cow must be tethered in order that it may be able to graze an area of 9856 sq meters. 14m 56m 76m 16m 14m 56m 76m 16m ANSWER EXPLANATION DOWNLOAD EXAMIANS APP clearly the cow will graze a circular field of area 9856 sq m and radius equal to the length of the rope. Let the length of the rope be r mts then, r2 = 9856 r2 = (9856 × 7) / 22 = 3136 r = 56 m
Area Problems The area of circle inscribed in an equilateral triangle is 462 cm . The perimeter of the triangle is? 72.6 cms 168 cms 42 ? 3 cms 126 cms 72.6 cms 168 cms 42 ? 3 cms 126 cms ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? 22/7 x r2 = 462? r2 = (462 x 7) /22 = 147? r = 7?3 cm ? Height of the triangle = 3r = 21?3 cmNow, ? a2 = a2/4 + (3r)2? 3a2/4 = (21?3)2? a2 = (1323 x 4)/3? a = 21x 2 = 42 cm? Perimeter = 3a = 3 x 42=126 cm
Area Problems The diameter of a circle is 105 cm less than the circumference. What is the diameter of the circle? 49 cm 46 cm 44 cm 48 cm 49 cm 46 cm 44 cm 48 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 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 Find the area of a rectangle having 15m length and 8m breadth. 120 sq m 125 sq m 111 sq m 115 sq m 120 sq m 125 sq m 111 sq m 115 sq m ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Required area = Length x Breadth= 15 x 8 = 120 sq m
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? 14 meters 12 meters 3.5 meters 6 meters 14 meters 12 meters 3.5 meters 6 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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