Area Problems The area of a circle is increased by 22 sq cm when its radius is increased by 1 cm. Find the original radius of the circle. 3.2 cm 6 cm 3 cm 3.5 cm 3.2 cm 6 cm 3 cm 3.5 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let original radius be r.Then, according to the questions,? (r + 1)2 - ?r2 = 22? ? x [(r + 1)2 - r2] = 22? (22/7) x (r + 1 + r ) x (r + 1 - r) = 22? 2r + 1 = 7 ? 2r = 6 ? r = 6/2 = 3 cm
Area Problems Find the perimeter of a triangle with sides equal to 6 cm, 4 cm and 5 cm. 18 cm 14 cm 15 cm 20 cm 18 cm 14 cm 15 cm 20 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given that, a = 6 cm, b = 4 cm and c = 5 cm Required perimeter = a + b + c= 6 + 4 + 5 cm = 15 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? 10 metres 13.4 metres 12.8 metres 18 metres 10 metres 13.4 metres 12.8 metres 18 metres ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Length of the longest pole = ? [(10)2 + (8)2] m = ? 164 m = 12.8 m
Area Problems The length of a rectangular plot is twice of its width. If the length of a diagonal is 9?5 meters, the perimeter of the rectangular is? 27 m None of these 54 m 81 m 27 m None of these 54 m 81 m ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let breadth = y meters,Then, length = 2y meters? Diagonal = ?y2 + (2y)2 = ?5y2 metersSo, ?5y2 = 9 ?5? y= 9Thus, breadth = 9 m and length = 18 m? Perimeter = 2 (18 + 9) m = 54m.
Area Problems Area of a four walls a room is 168 Sq. meters . The breadth and height of a room are 8 meters and 6 meters respectively . The length of the room is? 14 meters 6 meters 12 meters 3.5 meters 14 meters 6 meters 12 meters 3.5 meters ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of a four walls = 2(l + 8) x 6 = 168m2? (l + 8) = 14? l = 14-8= 6 meters
Area Problems The area of sector of a circle of radius 5 cm, formed by an arc of length 3.5 cm is? 17.5 sq.cms 55 sq.cms 8. 75 sq.cms 35 sq.cms 17.5 sq.cms 55 sq.cms 8. 75 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
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