Area Problems A railing of 288 m is required for fencing a semi-circular park. Find the area of the park. (? = 22/7) 8956 m2 4928 m2 9865 m2 9856 m2 8956 m2 4928 m2 9865 m2 9856 m2 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the radius of the park be r, then?r + 2r = 288(? + 2)r = 288? [(22/7) + 2]r = 288? r = (288 x 7)/36 = 56 ? Area of the park = (1/2)?r2= (1/2) x (22/7) x 56 x 56= 4928
Area Problems If the sides of a rectangle are increased by 10% find the percentage increased in its diagonals. 15% 10% 20% 18% 15% 10% 20% 18% ANSWER EXPLANATION DOWNLOAD EXAMIANS APP According to the formula,? Percentage increase in sides = 10%? Percentage increase diagonals = 10%
Area Problems The area of a right angled triangle is 10 sq cm. If its perpendicular is equal to 20 cm, find its base. 4 cm 1 cm 2 cm 3 cm 4 cm 1 cm 2 cm 3 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given that, area = 10 sq cm, perpendicular = 20 cm and base = ? area = (base x Perpendicular) / 2 ? 10 = (base x 20) / 2 ? base = 1 cm
Area Problems The radius of a circular field is 25 m. Find the area of the field. 25 ? sq m 135 ? sq m 125 ? sq m 625 ? sq m 25 ? sq m 135 ? sq m 125 ? sq m 625 ? sq m ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Required area = ?r2 = ? x 25 x 25 = 625? sq m.
Area Problems Angles of a quadrilateral are in the ratio 3 : 4 : 5 : 8. The smallest angle is 40° 18° 54° 36° 40° 18° 54° 36° ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let First angle = 3kSecond angle = 4kThird angle = 5k and Fourth angle = 8kWe know 3k + 4k + 5k + 8k = 360°? 20k = 360° ? k = 18 °Measure of smallest angle = 3k =3 x 18 ° = 54 °
Area Problems If the circumference of a circle is the 352 meters, then its area in m square is? 6589 5986 8956 9856 6589 5986 8956 9856 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP circumference = 2?r = 2 x (22 / 7) x r = 352? r = (352 x 7) / (22 x 2) =56 cmNow area = ?r2 = (22 / 7) x 56 x 56 m2= 9856 m2
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