Area

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131 Calculate each exterior angle of a regular octagon:

A
35°
B
39°
C
40°
D
45°

132 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:

A
7 m
B
8 m
C
12 m
D
13 m

133 Find the area of the largest circle that can be drawn inside a rectangle with sides 18 cm and 14 cm. [SSC CCL 2007]

A
49 sq cm
B
154 sq cm
C
378 sq cm
D
1078 sq cm

134 Area of circle is equal to the area of a rectangle having perimeter of 50 cm and the length is more than it's breadth by 3 cm. What is the diameter of the circle? [Bank Clerks 2007]

A
7 cm
B
21 cm
C
28 cm
D
14 cm

135 A ADEF is formed by joining the mid-points of the sides of AABC. Similarly, a APQR is formed by joining the mid-points of the sides of the ADEF. If the sides of the APQR are of lengths 1, 2 and 3 unit's, what is the perimeter of the AABC?

A
18 unit's
B
24 unit's
C
48 unit's
D
Cannot be determined

136 The side of a square is 5 cm which is 13 cm less than the diameter of a circle. What is the approximate area of the circle?

A
245 sq cm
B
235 sq cm
C
265 sq cm
D
255 sq cm

137 If the circumference of a circle is equal to the perimeter of square, then which one of the following is correct?

A
Area of circle = Area of square
B
Area of circle > Area of square
C
Area of circle > Area of square
D
Area of circle < Area of square

138 The cross-section of a canal is a trapezium in shape. If the canal is 20 m wide at the top and 12 m wide at the bottom and the area of the cross-section is 640 sq m, find the length of the cross-section:

A
80 m
B
40 m
C
60 m
D
70 m

139 Diagonals of a rhombus are 1 m and 1.5 m in lengths. The area of the rhombus is

A
0.75 m2
B
1.5 m2
C
1.5m2
D
0.375 m2

140 The area of a trapezium is 384 cm . If it's parallel sides are in the ratio 3 : 5 and the perpendicular distance between them is 12 cm, the smaller of the parallel sides is

A
20 cm
B
24 cm
C
30 cm
D
36 cm