Area Problems Area of a square is 1/2 hectare. The diagonal of the square is? 50 meter 50? 2 meter 100 meter 250 meter 50 meter 50? 2 meter 100 meter 250 meter ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area = 1/2 hectare = 10000 / 2 m2= 5000 m2Again Area = 1/2 x (Diagonal)2So 1/2 x (Diagonal)2 = 5000m2? Diagonal2= 10000 ? Diagonal = 100
Area Problems One side of a rectangular field is 4 meter and its diagonal is 5 meter. The area of the field is? 12 m2 20 m 2 4?5 m2 15 m2 12 m2 20 m 2 4?5 m2 15 m2 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Other side = ?5 2 - 42 = ? 9=3 mSo The area of the rectangular field = 4 x 3 = 12 m2
Area Problems The area of sector of a circle of radius 5 cm, formed by an arc of length 3.5 cm is? 8. 75 sq.cms 55 sq.cms 17.5 sq.cms 35 sq.cms 8. 75 sq.cms 55 sq.cms 17.5 sq.cms 35 sq.cms ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of sector = ( arc length x radius ) / 2 cm2= (3.5 x 5 ) / 2= 8.75 cm2
Area Problems The area of a trapezium is 384 sq.cm 2. If its parallel sides are in ratio 3 : 5 and the perpendicular distance between them be 12 cm, The smaller of parallel sides is? 20 cm 36 cm 30 cm 24 cm 20 cm 36 cm 30 cm 24 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the sides of trapezium be 5k and 3k, respectively According to the question, (1/2) x [(5k + 3k) x 12] = 384? 8k = (384 x 2)/12 = 64 ? k = 64/8 = 8 cmLength of smaller of the parallel sides = 8 x 3 = 24 cm
Area Problems The area of circle is 38.5 sq. cm. Its circumference is? 11 cm 22 cm 6.20 cm 121 cm 11 cm 22 cm 6.20 cm 121 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? ( 22 x r2) / 7 = 38.5? r2 =(38.5 x 7) /22? r = 3.5 cm? Circumference = 2 x (22/7) x 3.5 cm= 22 cm
Area Problems The area of an equilateral triangle is ? 243 /4 sq cm. Find the length of its side. 9 cm 3 cm ?3 cm 3?3 cm 9 cm 3 cm ?3 cm 3?3 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP According to the question,area = ?3a2/4 = ?243 /4? a2 = ?81 x 3/?3 ? a = ?9 = 3 cm
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