Area Problems The area of circle is 38.5 sq. cm. Its circumference is? 6.20 cm 11 cm 22 cm 121 cm 6.20 cm 11 cm 22 cm 121 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? ( 22 x r2) / 7 = 38.5? r2 =(38.5 x 7) /22? r = 3.5 cm? Circumference = 2 x (22/7) x 3.5 cm= 22 cm
Area Problems Find the cost of carpeting a room 8 m long and 6 m broad with a carpet 75 cm wide at ? 20 per m. ? 1280 ? 1500 ? 1300 ? 1750 ? 1280 ? 1500 ? 1300 ? 1750 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of the carpet = Area of the room = 8 x 6 = 48 sq mWidth of the carpet = 75/100 = 3/4 mLength of the carpet = 48 x (4/3) = 16 x 4 = 64 m? Cost of carpeting = 64 x 20 = ? 1280
Area Problems The question given below contain two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question ? Question : What is the height of a right-angled triangle ? Statements : A. The area of the triangle is 20 times its base. B. The perimeter of the triangle is equal to that of a square of the side 10 cm. Neither (A) nor (B) is reuired Only statement A is required Both A & B are required Only statement B is required Neither (A) nor (B) is reuired Only statement A is required Both A & B are required Only statement B is required ANSWER EXPLANATION DOWNLOAD EXAMIANS APP From statement (A), 20b = (1/2) × b × h h = 40 cm.
Area Problems What is the diameter of the circle having 3 cm radius? 8 cm 12 cm 6 cm 1.5 cm 8 cm 12 cm 6 cm 1.5 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Radius = Diameter/2 ? Diameter = 2 x Radius = 2 x 3 = 6 cm
Area Problems The area of circle inscribed in an equilateral triangle is 462 cm . The perimeter of the triangle is? 42 ? 3 cms 72.6 cms 168 cms 126 cms 42 ? 3 cms 72.6 cms 168 cms 126 cms ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? 22/7 x r2 = 462? r2 = (462 x 7) /22 = 147? r = 7?3 cm ? Height of the triangle = 3r = 21?3 cmNow, ? a2 = a2/4 + (3r)2? 3a2/4 = (21?3)2? a2 = (1323 x 4)/3? a = 21x 2 = 42 cm? Perimeter = 3a = 3 x 42=126 cm
Area Problems The ratio of the area of a square to that of the square drawn on its diagonal is 2;3 3:1 1:2 4:1 2;3 3:1 1:2 4:1 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP atio = a 2 2 a 2