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Area Problems

Area Problems
The radius of a circular field is 25 m. Find the area of the field.

135 ? sq m
625 ? sq m
25 ? sq m
125 ? sq m

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Required area = ?r2 = ? x 25 x 25 = 625? sq m.

Area Problems
The Number of rounds that a wheel of diameter 7/11 m will make in going 4 km, is?

1700
2000
1500
1000

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Number of round = total distance / circumference of wheel.= (4 x 1000) / ?d= (4 x 1000) / ( 22/7 x 7/11) = 2000

Area Problems
The base of a parallelogram is twice its height. If the area of the parallelogram is 338 sq.cm. Find its height?

14 cm
13 cm
12 cm
16 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let height =x Then, base =2x 2x * x = 338 =>x=13

Area Problems
The area of circle inscribed in an equilateral triangle is 462 cm . The perimeter of the triangle is?

168 cms
42 ? 3 cms
126 cms
72.6 cms

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? 22/7 x r2 = 462? r2 = (462 x 7) /22 = 147? r = 7?3 cm ? Height of the triangle = 3r = 21?3 cmNow, ? a2 = a2/4 + (3r)2? 3a2/4 = (21?3)2? a2 = (1323 x 4)/3? a = 21x 2 = 42 cm? Perimeter = 3a = 3 x 42=126 cm

Area Problems
The area of a rectangle is thrice that of square. Length of the rectangle is 40 cm and the breadth of the rectangle is ( 3 / 2 ) times that of the side of the square. The side of the square in cm is?

15
20
60
30

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the side of the square = y cmThen, breadth of the rectangle = 3y/2 cm ? Area of rectangle = (40 x 3y/2) cm2= 60y cm2? 60y = 3y2? y = 20Hence, the side of the square = 20 cm

Area Problems
A circular road runs rounds a circular ground. If the difference between the circumference of the outer circle and the inner circle is 66 meters, the width of the road is?

7 meters
5.25 meters
10.5 meters
21 meters

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let outer radius be R and inner radius be r.Then from question 2?R - 2?r = 66? 2? (R-r) = 66? (2 x 22)/7 x (R - r) = 66? (R-r) = (66 x 7) / 44= 10.5 m

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