Area Problems The Area of a square is 50 sq. units. Then the area of the circle drawn on its diagonal is? 25? sq. units 50? sq. units None of theas 100? sq. units 25? sq. units 50? sq. units None of theas 100? 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 If the radius of a circle is increased by 6%, find the percentage increase in its area. 15% 17% 8.39% 12.36% 15% 17% 8.39% 12.36% ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given that, a = 6 According to the formula,Percentage increase in area= 2a + [a2/100]%= 2 x 6 + [36/100]%= (12 + 0.36)%= 12.36%
Area Problems The perimeter of two square is 12 cm and 24 cm. The area of the bigger square is how many times that of the smaller? 5 times 3 times 2 times 4 times 5 times 3 times 2 times 4 times ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Ratio of area of 2 squares = (ratio of perimeter of 2 squares)2= (24/12)2= 4
Area Problems A triangle with three equal sides has its area equal to 3?3 sq cm . Find its perimeter . 7?3 cm 2?3 cm 5?3 cm 6?3 cm 7?3 cm 2?3 cm 5?3 cm 6?3 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP According to the question,?3a2/4 = 3?3 [ side = a, and area = ?3a2/4] ? a2/4 = 3 ? a2 = 3 x 4 ? a = 2?3? Required perimeter = 3a =3 x 2?3 = 6?3 cm
Area Problems The radius of a circle has been reduced from 9 cm to 7 cm . the appropriate percentage decrease in area is? 34.5 % 39.5 % 31.5 % 65.5 % 34.5 % 39.5 % 31.5 % 65.5 % ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Original area = (22/7) x 9 x 9 cm2New area = (22/7) x 7 x 7 cm2? Decrease = 22/7 x [(9)2 -(7)2] cm2=(22/7) x 16 x 2 cm2Decrease percent = [(22/7 x 16 x 2) /( 7/22 x 9 x 9)] x 100 %= 39.5 %
Area Problems The ratio between the lenght and the breadth of a rectangle is 2 : 1. If breadth is 5 cm less than the length, what will be the parimeter of the rectangle? 30 cm 40 cm 25 cm 35 cm 30 cm 40 cm 25 cm 35 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let length = 2x and breadth = xAccording to the question, 2x - x = 5 ? x = 5? Required perimeter = 2(2x + x) = 6x= 30 cm
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