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Area Problems

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

150%
250%
350%
450%

ANSWER DOWNLOAD EXAMIANS APP

Area Problems
If the ratio of the area of two square is 9 : 1 the ratio of their perimeters is?

3:4
3:1
1:3
9:1

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the area of square be (9x)2 m2 and (x2) m2Then, their sides are (3x) m and x metres respectively? Ratio of their perimeters = 12x / 4x=3:1

Area Problems
Find the length of a rope by which a cow must be tethered in order that it may be able to graze an area of 154 sq m.

12 m
13 m
8 m
7 m

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Length of to the rope = Radius of circle According to the question,?r2 = 154 ? r2 = 154 x (7/22) = 7 x 7 = 49 ? r = ?49 = 7 m

Area Problems
If the circumference of a circle is the 352 meters, then its area in m square is?

5986
8956
9856
6589

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

circumference = 2?r = 2 x (22 / 7) x r = 352? r = (352 x 7) / (22 x 2) =56 cmNow area = ?r2 = (22 / 7) x 56 x 56 m2= 9856 m2

Area Problems
If area of a square is 64 sq cm, then find the area of the circle formed by the same perimeter.

256/? sq cm
215/? sq cm
216/? sq cm
318/? sq cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area of square = 64 sq cm (Side)2 = 64 ? Side = ?64 = 8 cmAccording to the question,? 2?r = 4 x 8 ? r = (4 x 8)/2?? r = 16/?? Area of the circle = ? x (16/?) x (16/?) sq cm = 256/? sq cm.

Area Problems
The area of a trapezium is 384 sq.cm. If its parallel sides in ratio 3 : 5 and the perpendicular distance between them be 12 cm. The smaller of parallel sides is?

16 cm
32 cm
24 cm
40 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the parallel sides be 3a and 5a.So Area of trapezium = 1/2 x sum of parallel side x perpendicular distance between them.? 1/2 (3a +5a) x 12 = 384? 8a = 64? a =8? Smaller side = 3x = 3 x 8 = 24 cm.

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