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Area Problems

Area Problems
If the sides of a rectangle are increased by 5%, find the percentage increase in its diagonals.

6%
5%
4%
9%

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

According to the formula,Percentage increase in diagonals = 5%

Area Problems
The diameter of a circle is 105 cm less than the circumference. What is the diameter of the circle?

48 cm
46 cm
44 cm
49 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? ?d-d = 105 cm ? (? -1 ) d = 105 cm? [(22/7)-1] x d = 105 cm? d = (7/15) x 105 cm = 49 cm

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

215/? sq cm
256/? sq cm
318/? sq cm
216/? 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
If the diameters of a circle is increased by 100% . Its area is increased by?

200%
300%
100%
400%

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Original area = ?(d/2)2= (?d2) / 4New area = ?(2d/2)2= ?d2Increase in area = (?d2 - ?d2/4)= 3?d2/4? Required increase percent = [(3?d2)/4 x 4/(?d2) x 100]%= 300%

Area Problems
The ratio of the area of two square, one having and double its diagonal than the other is?

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

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the diagonal of one square be (2d) cmThen, diagonal of another square = d cm? Area of first square = [ 1/2 x (2d)2] cm2Area of second square = (1/2 x d2) cm2? Ratio of area = (2d)2/ d2= 4/1 = 4: 1

Area Problems
The ratio of the radii of two circle is 1:3 the radio of their areas is?

1:9
1:6
1:3
None of these

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

The Radio of areas = area of first circle : area of 2nd circle= ?r2 / ?(3r)2= ?r2/ 9 ?r2= 1/9 = 1: 9

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