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 A circular disc of area 0.49 ? square meters, rolls down a length of 1.76 km. The number of revolutions it makes is? 4000 400 600 300 4000 400 600 300 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area = ?r2 = 0.49? ? r = 0.7 mNumber of revolutions = total distance / circumference = (1.76 x 1000) / (2 x 22/7 x 0.7) = 400
Area Problems Four horses are be tethered at four concern of a square plot of side 63 meters, so that they just cannot reach one another. The area left ungrazed is? 675.5 m2 780.6 m2 785.8 m2 850.5 m2 675.5 m2 780.6 m2 785.8 m2 850.5 m2 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area left ungrazed = [(63 x 63) - (4 x 1/4 x 22/7 x (63/2)2] m2= (63 x 63 - (99 x 63)/2 ) m2= 63 x (63 - 99/2) m2= 850.5 m2
Area Problems The area of a circle of radius 5 is numerically what percent its circumference? 350% 250% 150% 450% 350% 250% 150% 450% ANSWER DOWNLOAD EXAMIANS APP
Area Problems The side of a square is 5 cm which is 13 cm less than the diameter of a circle. What is the approximate area of the circle? 245 sq cm 255 sq cm 235 sq cm 265 sq cm 245 sq cm 255 sq cm 235 sq cm 265 sq cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Diameter of the circle = 13 + 5 = 18 cm? Radius = Diameter/2 =18/2 = 9 cm Area of the circle = ?r2 = (22/7) x 92 = (22 x 81)/9 = 1782/7 = 254.57 sq cm= 255 sq cm
Area Problems The ratio of the area of square of side a and equilateral triangle of side a is? 4 :3 4 : ?3 2 : ?3 2 :1 4 :3 4 : ?3 2 : ?3 2 :1 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Ratio of area = a2/ ?(3/4) a2= 4/?3 = 4:?3