Area Problems The radius of a circular field is 25 m. Find the area of the field. 135 ? sq m 25 ? sq m 125 ? sq m 625 ? sq m 135 ? sq m 25 ? sq m 125 ? sq m 625 ? sq m ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Required area = ?r2 = ? x 25 x 25 = 625? sq m.
Area Problems The area of sector of a circle of radius 5 cm, formed by an arc of length 3.5 cm is? 8. 75 sq.cms 55 sq.cms 35 sq.cms 17.5 sq.cms 8. 75 sq.cms 55 sq.cms 35 sq.cms 17.5 sq.cms ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of sector = ( arc length x radius ) / 2 cm2= (3.5 x 5 ) / 2= 8.75 cm2
Area Problems A veranda 40 meters long 15 meters broad is to paved with stones each measuring 6 dm by 5 dm. the number of stones required is? 3000 None of these 1000 2000 3000 None of these 1000 2000 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Length = (40 x 10 ) dm = 400 dm.Breadth = (15 x 10 ) dm = 150 dm.Area of veranda = (400 x 150 ) dm2Area of one stone = (6 x 5 ) dm2? Required number of stones = (400 x 150) /(6 x 5) = 2000
Area Problems The ratio of the corresponding sides of two similar triangles is 3 : 4, The ratio of their areas is? 4 : 3 9 : 16 ? 3: 2 3 : 4 4 : 3 9 : 16 ? 3: 2 3 : 4 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Ratio of similar triangle = Ratio of the square of corresponding sides = (3x)2 / (4x)2 = 9x2 / 16x2 = 9/16 = 9 : 16
Area Problems The length of minute hand of a wall clock is 7 cms. The area swept by minute hand in 30 minutes is? 147 sq. cm 77 sq. cm 210 sq. cm 154 sq. cm 147 sq. cm 77 sq. cm 210 sq. cm 154 sq. cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Angle swept in 30 min= 180° Area swept = [(22/7) x 7 x 7] x [180°/360°] cm2 = 77 cm2
Area Problems The length and breadth of a playground are 36 m and 21 m respectively. Flagstaffs are required to be fixed on all along the boundary at a distance of 3 m apart. The number of flagstaffs will be? 39 38 40 37 39 38 40 37 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Perimeter = 2 x (36 + 21 ) m = 144 m ? Number of flagstaffs = 144 / 3 = 38