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Area Problems

Area Problems
The ratio of the area of a square to that of the square drawn on its diagonal is

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

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

atio =  a 2 2 a 2

Area Problems
One side of a rectangular field is 4 meter and its diagonal is 5 meter. The area of the field is?

15 m2
20 m 2
4?5 m2
12 m2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Other side = ?5 2 - 42 = ? 9=3 mSo The area of the rectangular field = 4 x 3 = 12 m2

Area Problems
The perimeter of two square is 12 cm and 24 cm. The area of the bigger square is how many times that of the smaller?

3 times
5 times
4 times
2 times

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Ratio of area of 2 squares = (ratio of perimeter of 2 squares)2= (24/12)2= 4

Area Problems
If the radius of a circle is decreased by 50% , find the percentage decrease in its area.

35%
25%
75%
65%

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

let original radius = r and  new radius = (50/100) r = r/2   original area =  ?r 2  and new area =  ? r / 2 2   decrease in area =  3 ?r 2 / 4 * 1 ?r 2  *100 = 75%

Area Problems
The area of circle is 38.5 sq. cm. Its circumference is?

11 cm
6.20 cm
22 cm
121 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? ( 22 x r2) / 7 = 38.5? r2 =(38.5 x 7) /22? r = 3.5 cm? Circumference = 2 x (22/7) x 3.5 cm= 22 cm

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

49 cm
44 cm
48 cm
46 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

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