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 154 sq m. 13 m 12 m 8 m 7 m 13 m 12 m 8 m 7 m ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Length of to the rope = Radius of circle According to the question,?r2 = 154 ? r2 = 154 x (7/22) = 7 x 7 = 49 ? r = ?49 = 7 m
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.15500 Rs.18500 Rs.17500 Rs.16500 Rs.15500 Rs.18500 Rs.17500 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 The circumference of a circle is 25 cm. Find the side of the square incribed in the circle. 25/??2 cm 21/??3 cm 23/??2 29/??3 cm 25/??2 cm 21/??3 cm 23/??2 29/??3 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Circumference of the circle = 2?r = 25? r = 25 / (2?)According to the formula,Side of inscribed square = r?2 = 25 / (2?r x ?2) = 25 / (??2 ) cm
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 16m 76m 56m 14m 16m 76m 56m 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 a right angled triangle is 10 sq cm. If its perpendicular is equal to 20 cm, find its base. 2 cm 1 cm 4 cm 3 cm 2 cm 1 cm 4 cm 3 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given that, area = 10 sq cm, perpendicular = 20 cm and base = ? area = (base x Perpendicular) / 2 ? 10 = (base x 20) / 2 ? base = 1 cm
Area Problems The area of the largest circle that can be drawn inside a rectangle with sides 18cm by 14cm is 49 1078 378 154 49 1078 378 154 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP The diameter is equal to the shortest side of the rectangle. So radius= 14/2 = 7cm. Therefore, area of circle = (r)2 = (22/7) x 49 = 154 cm2
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