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AREA PROBLEMS

Area Problems
If 88 m wire is required to fence a circular plot of land, then the area of the plot is?

526 m2
None of these
556 m2
616 m2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Circumference of circular plot= 88 m? 2 x (22/7) x r = 88? r = 88 x (7/22) x (1/2) = 14 m Now area = ?r2=( 22/7) x 14 x 14 m2= 616 m2

Area Problems
If the circumference of a circle is increased by 50%, then its area will be increased by?

50%
100%
225%
125%

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Original circumference = 2?r New circumference = (150 /100) x 2 ?r = 3?r 2?R = 3?r? R = 3r/2 Original area = ?r2New area = ?R2= ?9r2 / 4 = 9?r2/4Increase in area = (9?r2/4 ) - (?r2)= (5/4) ?r2Req. increase per cent = [{(5/4) ?r2} / {?r2}] x 100 = 125 %

Area Problems
If a regular hexagon is inscribed in a circle of radius, r then its perimeter?

6r
12r
9r
3r

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Length of each side of hexagoan = radius of circle ? its perimeter = 6r

Area Problems
Four horses are be tethered at four concern of a square plot of side 63 meters, so that they just cannot reach one another. The area left ungrazed is?

780.6 m2
675.5 m2
785.8 m2
850.5 m2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area left ungrazed = [(63 x 63) - (4 x 1/4 x 22/7 x (63/2)2] m2= (63 x 63 - (99 x 63)/2 ) m2= 63 x (63 - 99/2) m2= 850.5 m2

Area Problems
The circumferences of two concentric are 176 m and 132 m respectively. what is the difference between their radii?

7 meter
8 meter
5 meter
44 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

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