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Area Problems

Area Problems
Diagonals of a rhombus area 1 m and 1.5 m in lengths. The area of the rhombus is

0.375 m2
1.5 m2
1.5 m2
0.75 m2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area of rhombus =(d1 x d2)/2 =(1 x 1.5)/2 m2= 0.75 m2

Area Problems
How many circular plates of diameter d be taken out of a square plate of side 2d with minimum loss of material?

6
5
8
2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area of square plate = (Side)2 = (2d)2= 4d2Area of circular plate = ? (d/2)2= ?d2/4? Number of square plates = [(4d2)/4] / [(?d2)/4]= (4 x 4)/? ? 5Since, nearest integer value is 5.

Area Problems
The area of a circle of radius 5 is numerically what percent its circumference?

150%
350%
450%
250%

ANSWER DOWNLOAD EXAMIANS APP

Area Problems
The length of a rectangular plot is twice of its width. If the length of a diagonal is 9?5 meters, the perimeter of the rectangular is?

27 m
None of these
81 m
54 m

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let breadth = y meters,Then, length = 2y meters? Diagonal = ?y2 + (2y)2 = ?5y2 metersSo, ?5y2 = 9 ?5? y= 9Thus, breadth = 9 m and length = 18 m? Perimeter = 2 (18 + 9) m = 54m.

Area Problems
The radius of a circle is so increased that its circumference increased by 5%. The area of the circle, then increases by

12.5%
10.25%
11.25%
10.5 %

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Increase in circumference of circle = 5%? Increase in radius is also 5%.Now, increase in area of circle = 2a + (a2/100) %Where, a = increase in radius= 2 x 5 + (5 x 5)/100 % = 10.25%

Area Problems
The area of the sector of a circle, whose radius is 12 meters and whose angle at the centre is 42, is?

39.6 sq. meters
52.8 sq. meters
26.4 sq. meters
79.2 sq. meters

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area of the sector = [(22/7) x 12 x 12] x [42°/360°] m2 = 52.8 m2

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