Area Problems The Area of a square is 50 sq. units. Then the area of the circle drawn on its diagonal is? None of theas 25? sq. units 100? sq. units 50? sq. units None of theas 25? sq. units 100? sq. units 50? sq. units ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area = (Diagonal)2 / 2 = 50? Diagonal = 10 units ? Radius of required circle = 5 unitsIts area = [? x (5)2 ] cm2= 25? units2
Area Problems The area of an equilateral triangle whose side is 8 cms is? 21.3 cm2 16?3 cm2 64 cm2 4?3 cm2 21.3 cm2 16?3 cm2 64 cm2 4?3 cm2 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Req. Area = ?3/4 x a2 = ?3/4 x 82 cm2= 16?3 cm2
Area Problems Find the length of a rope by which a cow must be tethered in order that it may be able to graze an area of 154 sq m. 8 m 12 m 13 m 7 m 8 m 12 m 13 m 7 m ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Length of to the rope = Radius of circle According to the question,?r2 = 154 ? r2 = 154 x (7/22) = 7 x 7 = 49 ? r = ?49 = 7 m
Area Problems If the sides of a rectangle are increased by 5%, find the percentage increase in its diagonals. 5% 4% 9% 6% 5% 4% 9% 6% ANSWER EXPLANATION DOWNLOAD EXAMIANS APP According to the formula,Percentage increase in diagonals = 5%
Area Problems The length of each side of an equilateral triangle having an area of 4?3 cm 2 is? 4 cm ?3/4 cm 3 cm 4/?3 cm 4 cm ?3/4 cm 3 cm 4/?3 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of equilateral triangle = ?3/4 a2 = 4?3.? a2 = 16? a = 4 cm
Area Problems If area of a square is 64 sq cm, then find the area of the circle formed by the same perimeter. 318/? sq cm 215/? sq cm 256/? sq cm 216/? sq cm 318/? sq cm 215/? sq cm 256/? sq cm 216/? sq cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of square = 64 sq cm (Side)2 = 64 ? Side = ?64 = 8 cmAccording to the question,? 2?r = 4 x 8 ? r = (4 x 8)/2?? r = 16/?? Area of the circle = ? x (16/?) x (16/?) sq cm = 256/? sq cm.