Area Problems What is the diameter of the circle having 3 cm radius? 8 cm 1.5 cm 6 cm 12 cm 8 cm 1.5 cm 6 cm 12 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Radius = Diameter/2 ? Diameter = 2 x Radius = 2 x 3 = 6 cm
Area Problems A circle and a square have same area. The ratio of the side of the square and the radius of the circle is? ? : 1 1 : ? 1 : ?? ?? : 1 ? : 1 1 : ? 1 : ?? ?? : 1 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? Area of square = Area of circle ? x2 = ?r2? x/r = ?? = ? ? : 1
Area Problems Find the area of a triangle whose sides measure 13 cm, 14 cm and 15 cm. 44 64 22 84 44 64 22 84 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let a = 13, b = 14 and c = 15. Then, s = 1 2 a + b + c =21 (s- a) = 8, (s - b) = 7 and (s - c) = 6. Area = s s - a s - b s - c = 21 × 8 × 7 × 6 = 84 sq.cm
Area Problems If the radius of a circle be reduced by 50%. Its area is reduced by? 39.5% 31.5% 65.5% 34.5% 39.5% 31.5% 65.5% 34.5% ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Original area = ? x (r/2)2 = ?r2/4Reduction in area = ? r2 - 3? r2/4? Reduction per cent = [ 3?r2/4 x 4/(?r2) x 100 ] %= 75%
Area Problems The base of a parallelogram is twice its height. If the area of the parallelogram is 338 sq.cm. Find its height? 13 cm 14 cm 12 cm 16 cm 13 cm 14 cm 12 cm 16 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let height =x Then, base =2x 2x * x = 338 =>x=13
Area Problems Angles of a quadrilateral are in the ratio 3 : 4 : 5 : 8. The smallest angle is 40° 36° 18° 54° 40° 36° 18° 54° 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 °
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