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Area Problems

Area Problems
The inner circumference of a circular race track, 14 m wide, is 440 m. Find radius of the outer circle

44
84
22
33

ANSWER DOWNLOAD EXAMIANS APP

Area Problems
One side of a parallelogram is 8.06 cm and its perpendicular distance from opposite side is 2.08 cm. What is the approximate area of the parallelogram?

22.56 cm2
16.76 cm2
12.56 cm2
14.56 cm2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area of parallelogram = Base x Height = 8.06 x 2.08 = 16.76 cm2

Area Problems
The cost of cultivating a square field at the rate of Rs. 160 per hectare is Rs. 1440. the cost of putting a fence around it at 75 paisa per meter is?

Rs. 900
Rs. 1800
Rs. 360
Rs. 810

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area = 1440 / 160 hectares = 9 hectares = 90000 m2? One side = ?90000 m = 300 mSo perimeter = 4 x 300 m = 1200 m ? Cost of fencing = Rs (1200 x 75) / 100= Rs. 900

Area Problems
If the radius of a circle be reduced by 50%. Its area is reduced by?

34.5%
65.5%
31.5%
39.5%

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 ratio of the area of square of side a and equilateral triangle of side a is?

4 : ?3
2 : ?3
4 :3
2 :1

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Ratio of area = a2/ ?(3/4) a2= 4/?3 = 4:?3

Area Problems
A circular piece of thin wire is converted into a rhombus of side 11 cm. Find the diameter of the circular piece?

7 cm
14 cm
28 cm
3.5 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Circular piece is 4 x 11 = 44 cm long, Then Circumference of circle is given by, 44 = pi x D, where D is the diameter D = 44 / pi Take pi = 22 / 7, then D = 44 / (22/7) = (44 x 7) / 22 D = 14 cm.

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