Area Problems The base of right-angled triangle is 5 meters and hypotenuse is 13 meters . Its area will be? 28 m2 25m2 30m2 None of these 28 m2 25m2 30m2 None of these ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Altitude = ?(13)2 - (5)2= ?144 = 12m ? Area of the triangle = (5 x 12 ) / 2 m2= 30m2
Area Problems One side of a parallelogram is 8.06 cm and its perpendicular distance from opposite side is 2.08 cm. What is the approximate area of the parallelogram? 16.76 cm2 12.56 cm2 14.56 cm2 22.56 cm2 16.76 cm2 12.56 cm2 14.56 cm2 22.56 cm2 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of parallelogram = Base x Height = 8.06 x 2.08 = 16.76 cm2
Area Problems The area of a circle is increased by 22 sq cm when its radius is increased by 1 cm. Find the original radius of the circle. 3 cm 3.5 cm 3.2 cm 6 cm 3 cm 3.5 cm 3.2 cm 6 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let original radius be r.Then, according to the questions,? (r + 1)2 - ?r2 = 22? ? x [(r + 1)2 - r2] = 22? (22/7) x (r + 1 + r ) x (r + 1 - r) = 22? 2r + 1 = 7 ? 2r = 6 ? r = 6/2 = 3 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 154 sq m. 8 m 12 m 7 m 13 m 8 m 12 m 7 m 13 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 difference between the circumference and the radius of a circle is 37 cm. The area of a circle is? 111 sq. cm 154 sq. cm 148 sq. cm 259 sq. cm 111 sq. cm 154 sq. cm 148 sq. cm 259 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 ratio of the area of a square to that of the square drawn on its diagonal is 4:1 2;3 1:2 3:1 4:1 2;3 1:2 3:1 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP atio = a 2 2 a 2