Area Problems The ratio of the area of the circumcircle and the incircle of a square is 2 : 1 ?2 : 1 1 : ?2 1 : 2 2 : 1 ?2 : 1 1 : ?2 1 : 2 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Ratio of the areas of the circumcircle and incircle of a square = [(Diagonal)2?] / [(Side)2?]= [(Side x ?2)2] / (Side)2 = 2/1 or 2 : 1
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 48 cm 44 cm 49 cm 46 cm 48 cm 44 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 area of the largest circle that can be drawn inside a rectangle with sides 18cm by 14cm is 49 1078 154 378 49 1078 154 378 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
Area Problems A tank is 25m long 12m wide and 6m deep. The cost of plastering its walls and bottom at 75 paise per sq m is Rs. 458 Rs. 558 Rs. 258 Rs. 358 Rs. 458 Rs. 558 Rs. 258 Rs. 358 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area to be plastered = 2 l + b × h + l × b = 2 25 + 12 × 6 + 25 × 12 = 744 s q . m Cost of plastering = 744 × 75 100 = R s . 558
Area Problems A wheel makes 1000 revolutions in covering a distance of 88 km. the diameter of the wheel is? 28 meters 24 meters 14 meters 40 meters 28 meters 24 meters 14 meters 40 meters ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Distance covered in one revolution = total distance travelled / total number of revolution. = ( 88 x 1000) / 1000 m = 88 mWe know that the distance covered in one revolution = circumference of the wheel.? ?d = 88? 22d / 7 = 88? d = 28 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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