Area Problems The Area of a square is 50 sq. units. Then the area of the circle drawn on its diagonal is? 100? sq. units 25? sq. units 50? sq. units None of theas 100? sq. units 25? sq. units 50? sq. units None of theas 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 diagonal of a rectangle is √41 cm and its area is 20 sq. cm. The perimeter of the rectangle must be: 20 cm 9 cm 18 cm 41 cm 20 cm 9 cm 18 cm 41 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP √l2 + b2 = √41. Also, lb = 20. (l + b)2 = (l2 + b2) + 2lb = 41 + 40 = 81 ⟹ (l + b) = 9. ∴ Perimeter = 2(l + b) = 18 cm
Area Problems Three circles of radius 3.5cm are placed in such a way that each circle touches the other two. The area of the portion enclosed by the circles is 1.967 1.867 1.567 1.767 1.967 1.867 1.567 1.767 ANSWER DOWNLOAD EXAMIANS APP
Area Problems The sides of a triangle area in the ratio of 1/3 : 1/4 : 1/5 and its perimeter is 94 cm. Find the length of the smallest side of the triangle . 22.5 cm 27 cm 18 cm 24 cm 22.5 cm 27 cm 18 cm 24 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given ratio = 1/3 : 1/4 : 1/5 = 20 : 15 : 12Let length of the sides be 20k, 15k and 12k.Then, according to the question,20k + 15k + 12k = 94? 47k = 94? k = 94/47 = 2Smallest side = 12k = 12 x 2 = 24 cm
Area Problems The area of a circle of radius 5 is numerically what percent its circumference? 250% 350% 150% 450% 250% 350% 150% 450% ANSWER DOWNLOAD EXAMIANS APP
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? 6 sq. meters . 9 sq. meters . 18 sq. meters . 12 sq. meters . 6 sq. meters . 9 sq. meters . 18 sq. meters . 12 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
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