Area Problems The area of a circle of radius 5 is numerically what percent its circumference? 350% 250% 150% 450% 350% 250% 150% 450% ANSWER DOWNLOAD EXAMIANS APP
Area Problems Area of a square is 1/2 hectare. The diagonal of the square is? 100 meter 250 meter 50 meter 50? 2 meter 100 meter 250 meter 50 meter 50? 2 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 Area of a square with side x is equal to the area of a triangle with base x. The altitude of the triangle is? x 2x 4x x/2 x 2x 4x x/2 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let h be the altitude of triangle.So area of triangle = (1/2)xh area of square = x2From question area of square = area of triangle x2 = (1/2)xh ? h = (2x2)/x = 2x
Area Problems The circumferences of two concentric are 176 m and 132 m respectively. what is the difference between their radii? 5 meter 8 meter 44 meter 7 meter 5 meter 8 meter 44 meter 7 meter ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? 2?R - 2?r = (176-132)? 2?(R-r) = 44? R-r = ( 44 x 7 )/ (2 x 22)= 7 m
Area Problems A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 680 sq. feet, how many feet of fencing will be required? 34 68 40 88 34 68 40 88 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP We have: l = 20 ft and lb = 680 sq. ft. So, b = 34 ft. ∴ Length of fencing = (l + 2b) = (20 + 68) ft = 88 ft
Area Problems The diagonal of a rectangle is √41 cm and its area is 20 sq. cm. The perimeter of the rectangle must be: 41 cm 18 cm 9 cm 20 cm 41 cm 18 cm 9 cm 20 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP √l2 + b2 = √41. Also, lb = 20. (l + b)2 = (l2 + b2) + 2lb = 41 + 40 = 81 ⟹ (l + b) = 9. ∴ Perimeter = 2(l + b) = 18 cm
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