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Area Problems

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

250%
150%
450%
350%

ANSWER DOWNLOAD EXAMIANS APP

Area Problems
The length of a room is 5.5 m and width is 3.75 m. Find the cost of paying the floor by slabs at the rate of Rs. 800 per sq.metre.

Rs.17500
Rs.16500
Rs.18500
Rs.15500

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area = 5.5 × 3.75 sq. metre. Cost for 1 sq. metre. = Rs. 800 Hence total cost = 5.5 × 3.75 × 800 = 5.5 × 3000 = Rs. 16500

Area Problems
A cost of cultivating a square field at a rate of ? 135 per hectare is ? 1215. The cost of putting a fence around it at the rate of 75 paise per meter wouldbe

? 360
? 900
? 810
? 1800

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area of the field =1215/135 = 9 hec= 90000 m2 [1 hec =10000 m2]? Side of the field = ?90000 = 300 mPerimeter of the field = 4 x 300 = 1200 mNow, cost of putting a fence around field = (1200 x 75)/100 = ? 900

Area Problems
If each side of a square is increased by 25%, find the percentage change in its area.

16.25%
56.25%
12.25%
36.25%

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let each side of the square be a. Then, area = . a 2 New side = 125 a 100 = 5 a 4 . New area =  5 a 4 2  =  25 a 2 16   Increase in area =  25 a 2 16 - a 2 = 9 a 2 16 Increase% =  9 a 2 16 * 1 a 2 * 100  % = 56.25%.

Area Problems
The wheel of an engine turns 350 times round its axle to cover a distance of 1.76 km. The diameter of the wheel is

?3 cm
9 cm
3?3 cm
3 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Distance covered in 1 round = (Total Distance) / (Total round)= (1.76 x 1000)/350= 176/35 m ? 2?r = (1.76 x 100) / 35 cm2? = Diameter = 17600 x 7/22 x 35 = 160 cm

Area Problems
The ratio of the area of the circumcircle and the incircle of a square is

1 : ?2
2 : 1
1 : 2
?2 : 1

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Ratio of the areas of the circumcircle and incircle of a square = [(Diagonal)2?] / [(Side)2?]= [(Side x ?2)2] / (Side)2 = 2/1 or 2 : 1

MORE MCQ ON Area Problems

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