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Area Problems

Area Problems
The area of a circle of radius 5 is numerically what percent its circumference?

250%
350%
450%
150%

ANSWER DOWNLOAD EXAMIANS APP

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

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

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Area Problems
A circular road runs rounds a circular ground. If the difference between the circumference of the outer circle and the inner circle is 66 meters, the width of the road is?

5.25 meters
10.5 meters
21 meters
7 meters

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let outer radius be R and inner radius be r.Then from question 2?R - 2?r = 66? 2? (R-r) = 66? (2 x 22)/7 x (R - r) = 66? (R-r) = (66 x 7) / 44= 10.5 m

Area Problems
A man runs round a circular field of radius 50m at the speed of 12 km/hr. What is the time taken by the man to take twenty rounds of the field?

110/7 min
220/7 min
90/7 min
230/7 min

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

speed = 12 km/h =  12 × 5 18 = 10 3 m / s     distance covered =  20 × 2 × 22 7 × 50 = 44000 7 m     time taken  = distance /speed =   44000 7 × 3 10 s e c = 4400 × 3 7 × 1 60 m i n = 220 7 m i n

Area Problems
A man walked diagonally across a square plot. Approximately what was the percent saved by not walking along the edges?

20%
30%
10%
40%

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

let the side of the square be x meterslength of two sides = 2x metersdiagonal =  2 x = 1.414x m   saving on 2x meters = .59x m   saving % =  0 . 59 x 2 x * 100 %   = 30% (approx)

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

50
None of these
75
No change

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 .

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