Area Problems The length of each side of an equilateral triangle having an area of 4?3 cm 2 is? 4 cm 3 cm 4/?3 cm ?3/4 cm 4 cm 3 cm 4/?3 cm ?3/4 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of equilateral triangle = ?3/4 a2 = 4?3.? a2 = 16? a = 4 cm
Area Problems Find the area of the trapezium, whose parallel sides are 12 cm and 10 cm, and distance between the parallel sides is 14 cm? 164 sq.com 121 sq.com 186 sq.com 154 sq.com 164 sq.com 121 sq.com 186 sq.com 154 sq.com ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of trapezium = 1/2 x (Sum of parallel sides) x (Distance between Parallel sides) = 1/2 x (12 + 10) x 14 = 22 x 14/2 = 22 x 7 = 154 sq. cm
Area Problems If D,E and F are respectively the midpoint of the sides BC , CA and AB of a ? ABC and the area of ? ABC = 36m 2. Then area of ? DEF is? 18 cm2 19 cm2 12 cm 2 9 cm 2 18 cm2 19 cm2 12 cm 2 9 cm 2 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of a triangle formed by joining the mid point of the sides of the triangle is 1/4th of area of the original triangle .So area of ? DEF = 36/ 4 = 9 m2
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 1.867 1.567 1.767 1.967 1.867 1.567 1.767 1.967 ANSWER DOWNLOAD EXAMIANS APP
Area Problems A circular road runs rounds a circular ground. If the difference between the circumference of the outer circle and the inner circle is 66 meters, the width of the road is? 21 meters 10.5 meters 7 meters 5.25 meters 21 meters 10.5 meters 7 meters 5.25 meters ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let outer radius be R and inner radius be r.Then from question 2?R - 2?r = 66? 2? (R-r) = 66? (2 x 22)/7 x (R - r) = 66? (R-r) = (66 x 7) / 44= 10.5 m
Area Problems The inner circumference of a circular race track, 14 m wide is 440 m . Then the radius of the outer circle is? 77 m 84 m 70 m 56 m 77 m 84 m 70 m 56 m ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Circumference of a circular = 2?r? 2 x (22 / 7) x r = 440? r = [440 x (7/22) x (1/2)] = 70 m? Radius of outer circle = (70 + 14) m = 84 m
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