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AREA PROBLEMS

Area Problems
The difference between the circumference and the radius of a circle is 37 cm. The area of a circle is?

148 sq. cm
111 sq. cm
154 sq. cm
259 sq. cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? 2?r - r = 37? [(2 x 22/7) -1]r= 37? 37r / 7= 37? r = 7 So, area of the circle =(22/7) x 7 x 7 cm2= 154 cm2

Area Problems
The area of a circular field is 13.86 hectares . The cost of fencing it at the rate of 20 paisa per meter is?

Rs. 264
Rs. 324
Rs. 198
Rs. 277.20

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? 22/7 x r2 = 13.86 x 10000? r2 = (13.86 x 10000 x 7) / 22? r = 210 m ? Circumference = [2 x (22/7) x 210 ] m = 1320 m Cost of fencing = Rs. (1320 x 20)/100= Rs . 264

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

121 cm
11 cm
22 cm
6.20 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
If the circumference of a circle is the 352 meters, then its area in m square is?

6589
9856
5986
8956

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
Area of a square with side x is equal to the area of a triangle with base x. The altitude of the triangle is?

4x
x/2
2x
x

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let h be the altitude of triangle.So area of triangle = (1/2)xh area of square = x2From question area of square = area of triangle x2 = (1/2)xh ? h = (2x2)/x = 2x

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