Area Problems The base of right-angled triangle is 5 meters and hypotenuse is 13 meters . Its area will be? None of these 30m2 25m2 28 m2 None of these 30m2 25m2 28 m2 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Altitude = ?(13)2 - (5)2= ?144 = 12m ? Area of the triangle = (5 x 12 ) / 2 m2= 30m2
Area Problems If 88 m wire is required to fence a circular plot of land, then the area of the plot is? None of these 556 m2 526 m2 616 m2 None of these 556 m2 526 m2 616 m2 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Circumference of circular plot= 88 m? 2 x (22/7) x r = 88? r = 88 x (7/22) x (1/2) = 14 m Now area = ?r2=( 22/7) x 14 x 14 m2= 616 m2
Area Problems If the length of diagonal AC of a square ABCD is 5.2 cm then area of the square ABCD is? 13.52 sq.cm 10 sq.cm 12.62 sq.cm 15.12 sq.cm 13.52 sq.cm 10 sq.cm 12.62 sq.cm 15.12 sq.cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area = 1/2 x (Diagonal)2= (1/2) x 5.2 x 5.2 cm2= 13.52 cm2
Area Problems The ratio of the area of the circumcircle and the incircle of a square is 1 : ?2 2 : 1 ?2 : 1 1 : 2 1 : ?2 2 : 1 ?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 A wire can be bent in the form of a circle of radius 56cm. If it is bent in the form of a square, then its area will be 4444 8844 7744 5544 4444 8844 7744 5544 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP length of wire = 2 ?r = 2 x (22/7 ) x 56 = 352 cmside of the square = 352/4 = 88cmarea of the square = 88 x 88 = 7744sq cm
Area Problems The area of an equilateral triangle whose side is 8 cms is? 64 cm2 4?3 cm2 16?3 cm2 21.3 cm2 64 cm2 4?3 cm2 16?3 cm2 21.3 cm2 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Req. Area = ?3/4 x a2 = ?3/4 x 82 cm2= 16?3 cm2