Area Problems The length of minute hand of a wall clock is 7 cms. The area swept by minute hand in 30 minutes is? 210 sq. cm 154 sq. cm 77 sq. cm 147 sq. cm 210 sq. cm 154 sq. cm 77 sq. cm 147 sq. cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Angle swept in 30 min= 180° Area swept = [(22/7) x 7 x 7] x [180°/360°] cm2 = 77 cm2
Area Problems If the radius of a circle is increased by 6%, find the percentage increase in its area. 17% 15% 12.36% 8.39% 17% 15% 12.36% 8.39% 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 an isosceles triangle is 26 cm while equal sides together measure 20 cm. The third side and each of the equal sides are respectively. 6 cm and 10 cm 8 cm and 9 cm 14 cm and 6 cm 10 cm and 8 cm 6 cm and 10 cm 8 cm and 9 cm 14 cm and 6 cm 10 cm and 8 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the third side be x.According to the question,x + 20 = 26? x = 26 - 20 = 6 cm ? Each equal side = 20/2 = 10 cm
Area Problems If the sides of a rectangle are increased by 5%, find the percentage increase in its diagonals. 5% 6% 4% 9% 5% 6% 4% 9% ANSWER EXPLANATION DOWNLOAD EXAMIANS APP According to the formula,Percentage increase in diagonals = 5%
Area Problems The length of a rectangle is twice its breadth. If its length is decreased by 5 cm and the breadth is increased by 5 cm, the area of the rectangle is increased by 75 cm 2 . Therefore , the length of the rectangle is? 50 cm 40 cm 30 cm 20 cm 50 cm 40 cm 30 cm 20 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let breadth = b, length = 2b? Area of rectangle = 2b x b = 2b2As per question. ? (2b - 5 ) (b + 5 ) = 2b2 + 75? 5b = 75 + 25? 5b = 100? b = 100 / 5 = 20Hence, length of the rectangle =2b = 2 x 20 = 40 cm.
Area Problems The area of a rectangular field is 15 time the sum of its length and breadth. If the length of that field is 40 m, what is the breadth of that field? 25 m 24 m 32 m 28 m 25 m 24 m 32 m 28 m ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Length ot rectangle = 40 mLet breadth of = kThen, according of the question, (40 + k)15 = 40k ? 600 + 15k = 40k ? 25k = 600? k = 24 m
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