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Area Problems

Area Problems
Square units 13 by 9 of an office area is

97
117
107
127

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Square units 13 by 9 of an office means office of length 13 units and breadth 9 units. Now its area is 13x 9 = 117 square units or units square.

Area Problems
The length of a rectangle is double while its breadth is halved. What is the percentage change in area?

No change
75
50
None of these

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let length = l and breadth = bThen, area = lb New length = 2lAnd new breadth = b/2 ? New area = ( 2l ) x (b/2) = lbSo, there is no change in area .

Area Problems
The radius of a circular field is 25 m. Find the area of the field.

625 ? sq m
25 ? sq m
135 ? sq m
125 ? sq m

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Required area = ?r2 = ? x 25 x 25 = 625? sq m.

Area Problems
The radius of a circle is so increased that its circumference increased by 5%. The area of the circle, then increases by

12.5%
10.5 %
10.25%
11.25%

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Increase in circumference of circle = 5%? Increase in radius is also 5%.Now, increase in area of circle = 2a + (a2/100) %Where, a = increase in radius= 2 x 5 + (5 x 5)/100 % = 10.25%

Area Problems
If the radius of a circle is decreased by 50% , find the percentage decrease in its area.

75%
65%
35%
25%

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

let original radius = r and  new radius = (50/100) r = r/2   original area =  ?r 2  and new area =  ? r / 2 2   decrease in area =  3 ?r 2 / 4 * 1 ?r 2  *100 = 75%

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

5 meter
44 meter
8 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

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