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Area Problems

Area Problems
If a regular hexagon is inscribed in a circle of radius, r then its perimeter?

12r
9r
6r
3r

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Length of each side of hexagoan = radius of circle ? its perimeter = 6r

Area Problems
If the length of diagonal AC of a square ABCD is 5.2 cm then area of the square ABCD is?

10 sq.cm
12.62 sq.cm
13.52 sq.cm
15.12 sq.cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area = 1/2 x (Diagonal)2= (1/2) x 5.2 x 5.2 cm2= 13.52 cm2

Area Problems
The length and breadth of a square are increased by 40% and 30% respectively. The area of a resulting rectangle exceeds the area of the square by?

None of these
42%
62%
82%

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the side of the square = 100 m So area of square = 100 x 100 = 10000.New length = 140 m, New breadth = 130 mIncrease in area = [(140 x 130) - (100 x 100)] m2= 8200 m2? Required increase percent = (8200/ 10000) x 100 % = 82%

Area Problems
The inner circumference of a circular race track, 14 m wide, is 440 m. Find radius of the outer circle

44
22
33
84

ANSWER DOWNLOAD EXAMIANS APP

Area Problems
The area of the largest circle that can be drawn inside a rectangle with sides 18cm by 14cm is

1078
49
154
378

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

The diameter is equal to the shortest side of the rectangle. So radius= 14/2 = 7cm. Therefore, area of circle = (r)2 = (22/7) x 49 = 154 cm2

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

2
8
6
5

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.

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