Area Problems The area of a circle of radius 5 is numerically what percent its circumference? 150% 250% 350% 450% 150% 250% 350% 450% ANSWER DOWNLOAD EXAMIANS APP
Area Problems The length of a rectangle is twice its breadth. If its length is decreased by 5 cm and the breadth is increased by 5 cm, the area of the rectangle is increased by 75 cm 2 . Therefore , the length of the rectangle is? 20 cm 50 cm 30 cm 40 cm 20 cm 50 cm 30 cm 40 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let breadth = b, length = 2b? Area of rectangle = 2b x b = 2b2As per question. ? (2b - 5 ) (b + 5 ) = 2b2 + 75? 5b = 75 + 25? 5b = 100? b = 100 / 5 = 20Hence, length of the rectangle =2b = 2 x 20 = 40 cm.
Area Problems The cost of carpeting a room 15 meters long with a carpet 75 cm wide at 30 paisa per meter is Rs. 36. The breadth of the room is? 9 meters 6 meters 12 meters 8 meters 9 meters 6 meters 12 meters 8 meters ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Length of carpet = Total Cost / Rate = 3600 / 30 = 120 mArea of carpet = (120 x 75) / 100 m2= 90 m2? Area of the room = 90 m2Breadth of the room = Area /Length = 90 / 15 m = 6m
Area Problems The difference between the circumference and the radius of a circle is 37 cm. The area of a circle is? 259 sq. cm 148 sq. cm 154 sq. cm 111 sq. cm 259 sq. cm 148 sq. cm 154 sq. cm 111 sq. cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? 2?r - r = 37? [(2 x 22/7) -1]r= 37? 37r / 7= 37? r = 7 So, area of the circle =(22/7) x 7 x 7 cm2= 154 cm2
Area Problems The circumference of a circle is 25 cm. Find the side of the square incribed in the circle. 29/??3 cm 23/??2 21/??3 cm 25/??2 cm 29/??3 cm 23/??2 21/??3 cm 25/??2 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 The radius of the wheel of a vehicle is 70 cm. The wheel makes 10 revolutions in 5 seconds. The speed of the vehicle is? 29.46 km/hr. 32.72 km/hr. 36.25 km/hr. 31.68 km/hr. 29.46 km/hr. 32.72 km/hr. 36.25 km/hr. 31.68 km/hr. ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Circumference = 2?r = 2 x (22 / 7) x 70 cm = 440 cm Distance travelled in 10 revolutions = 440 x 10 cm = 4400 cm = 44 m? Speed = distance / time= 44 / 5 m/sec= (44 / 5) x (18 / 5) km/hr = 31.68 km/hr
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