Area Problems The ratio of the area of the circumcircle and the incircle of a square is 2 : 1 1 : 2 ?2 : 1 1 : ?2 2 : 1 1 : 2 ?2 : 1 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 diagonals of two squares are in the ratio of 3 : 2. Find the ratio of their areas. 9 : 5 9 : 4 9 : 7 9 : 2 9 : 5 9 : 4 9 : 7 9 : 2 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the diagonals of the squares be 3x and 2x.? Ratio of their areas = [(1/2) (3x2)] / [(1/2) (2x2)] = 9/4
Area Problems A wheel make 4000 revolution in moving a distance of 44 km. Find the radius of the wheel. 1.75 m 28 m 25 m 27 m 1.75 m 28 m 25 m 27 m ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Distance covered in 1 revolution = (44 x 1000) / 4000 = 11 mAccording to the question, 2?r = 11 ? (44/7) x r = 11? r = (11 x 7) / 44 = 1.75 m
Area Problems Area of a four wall of a room is 77 square meters . the length and breadth of room are 7.5 meters and 3.5 meters respectively . the height of the room is? 3.5 meters 5.4 meters 7.7 meters 6.77 meters 3.5 meters 5.4 meters 7.7 meters 6.77 meters ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of four walls = 2 x (l + b ) x h? 2 x (7.5 + 3.5 ) x h = 77 m2? h = 77 / (2 x 11) = 7/2? h = 3.5 meters
Area Problems The circumferences of two concentric are 176 m and 132 m respectively. what is the difference between their radii? 44 meter 8 meter 5 meter 7 meter 44 meter 8 meter 5 meter 7 meter ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? 2?R - 2?r = (176-132)? 2?(R-r) = 44? R-r = ( 44 x 7 )/ (2 x 22)= 7 m
Area Problems The diameter of a wheel is 63 cms. Distance travelled by the wheel in 100 revolutions is? 99 meters 136 meters 63 meters 198 meters 99 meters 136 meters 63 meters 198 meters ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Distance travelled in 1 revolution = circumference of the wheel = ?d= ( 22/7 ) x 63= 198 cmSo the distance travelled in 100 revolutions = 100 x distance travelled in 1 revolution = 100 x 198 cm= 19800 cm = 198 m