Area Problems The radius of a circular field is 25 m. Find the area of the field. 135 ? sq m 25 ? sq m 625 ? sq m 125 ? sq m 135 ? sq m 25 ? sq m 625 ? sq m 125 ? sq m ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Required area = ?r2 = ? x 25 x 25 = 625? sq m.
Area Problems A rectangle has 20 cm as its length and 200 sq cm as its area. If the area is increased by 1 1/ 5 time the original area by increase its length only then the perimeter of the rectangle so formed (in cm) is 64 72 68 60 64 72 68 60 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP l1 = 20 cm, A1 = 200 sq cm? b1 = 200/20 = 10 cmNow, A2 = 200 x 6/5 = 240 sq cm b2 = 10 cm? l2 = 240/10 = 24 cm? Perimeter of new rectangle = 2(l2 + b2)= 2(24 + 10) = 2 x 34 = 68 cm
Area Problems The ratio of the area of the circumcircle and the incircle of a square is 1 : 2 1 : ?2 ?2 : 1 2 : 1 1 : 2 1 : ?2 ?2 : 1 2 : 1 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 two parallel sides of a trapezium are 1 meters and 2 meters respectively . The perpendicular distance between them is 6 meters. The area of the trapezium is? 18 sq. meters . 6 sq. meters . 12 sq. meters . 9 sq. meters . 18 sq. meters . 6 sq. meters . 12 sq. meters . 9 sq. meters . ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of trapezium = 1/2 x sum of parallel sides x perpendicular distance between them= 1/2 (1 + 2) x 6 m2= 9 m2
Area Problems The inner circumference of a circular race track, 14 m wide, is 440 m. Find radius of the outer circle 44 22 84 33 44 22 84 33 ANSWER DOWNLOAD EXAMIANS APP
Area Problems If the ratio of the area of two square is 9 : 1 the ratio of their perimeters is? 3:4 9:1 3:1 1:3 3:4 9:1 3:1 1:3 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the area of square be (9x)2 m2 and (x2) m2Then, their sides are (3x) m and x metres respectively? Ratio of their perimeters = 12x / 4x=3:1
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