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Area Problems

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

350%
450%
250%
150%

ANSWER DOWNLOAD EXAMIANS APP

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?

21 meters
7 meters
5.25 meters
10.5 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
Floor of a square room of side 10 m is to be completely covered with square tiles, each having length 50 cm. The smallest number of tiles needed is?

300
400
200
500

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area of square room = (10)2 = 100 sq m= 100 x (100)2 sq cm= 100 x 100 x 100 sq cmNow, area of tiles = (50)2 = 50 x 50 sq cm? Number of tiles needed = (Area of square room) / (Area of tile)= (100 x 100 x 100) / (50 x 50) = 400Hence, 400 tiles will be needed.

Area Problems
The length of a rectangular plot is twice of its width. If the length of a diagonal is 9?5 meters, the perimeter of the rectangular is?

27 m
None of these
54 m
81 m

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let breadth = y meters,Then, length = 2y meters? Diagonal = ?y2 + (2y)2 = ?5y2 metersSo, ?5y2 = 9 ?5? y= 9Thus, breadth = 9 m and length = 18 m? Perimeter = 2 (18 + 9) m = 54m.

Area Problems
The two parallel sides of a trapezium are 1 meters and 2 meters respectively . The perpendicular distance between them is 6 meters. The area of the trapezium is?

6 sq. meters .
18 sq. meters .
12 sq. meters .
9 sq. meters .

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area of trapezium = 1/2 x sum of parallel sides x perpendicular distance between them= 1/2 (1 + 2) x 6 m2= 9 m2

Area Problems
The area of a rectangle is 460 square metres. If the length is 15% more than the breadth, what is the breadth of the rectangular field?

30 m
20 m
50 m
40 m

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let breadth = x meters. Then, Length = 115x / 100 meters Given that,  X × (115X / 100) = 460 => X = 20

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