Area Problems The diameter of a circle is 105 cm less than the circumference. What is the diameter of the circle? 48 cm 46 cm 49 cm 44 cm 48 cm 46 cm 49 cm 44 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? ?d-d = 105 cm ? (? -1 ) d = 105 cm? [(22/7)-1] x d = 105 cm? d = (7/15) x 105 cm = 49 cm
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 One diagonal of a rhombus is 60% of the other diagonal. Then, area of the rhombus is how many times the square of the length of the larger diagonal? 1/5 2/5 6/7 3/10 1/5 2/5 6/7 3/10 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let one diagonal be k.Then, other diagonal = (60k/100) = 3k/5 cmArea of rhombus =(1/2) x k x (3k/5) = (3/10) = 3/10 (square of longer diagonal)Hence, area of rhombus is 3/10 times.
Area Problems If the length of diagonal AC of a square ABCD is 5.2 cm then area of the square ABCD is? 13.52 sq.cm 15.12 sq.cm 12.62 sq.cm 10 sq.cm 13.52 sq.cm 15.12 sq.cm 12.62 sq.cm 10 sq.cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area = 1/2 x (Diagonal)2= (1/2) x 5.2 x 5.2 cm2= 13.52 cm2
Area Problems If the diagonal of a rectangle is 17cm long and its perimeter is 46 cm. Find the area of the rectangle. 120 110 140 130 120 110 140 130 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP let length = x and breadth = y then 2(x+y) = 46 => x+y = 23 x²+y² = 17² = 289 now (x+y)² = 23² => x²+y²+2xy= 529 => 289+ 2xy = 529 => xy = 120 area = xy = 120 sq.cm
Area Problems A park of 10 meters long and 8 meters broad. What is the length of the longest pole that can be placed in the park? 12.8 metres 18 metres 13.4 metres 10 metres 12.8 metres 18 metres 13.4 metres 10 metres ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Length of the longest pole = ? [(10)2 + (8)2] m = ? 164 m = 12.8 m
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