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Area Problems

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

6r
9r
12r
3r

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Area Problems
The cost of carpeting a room 15 meters long with a carpet 75 cm wide at 30 paisa per meter is Rs. 36. The breadth of the room is?

8 meters
12 meters
9 meters
6 meters

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Length of carpet = Total Cost / Rate = 3600 / 30 = 120 mArea of carpet = (120 x 75) / 100 m2= 90 m2? Area of the room = 90 m2Breadth of the room = Area /Length = 90 / 15 m = 6m

Area Problems
Find the area of a triangle whose sides measure 13 cm, 14 cm and 15 cm.

84
64
44
22

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let a = 13, b = 14 and c = 15. Then,  s = 1 2 a + b + c =21  (s- a) = 8, (s - b) = 7 and (s - c) = 6. Area = s s - a s - b s - c  = 21 × 8 × 7 × 6  = 84 sq.cm

Area Problems
If the base of a rectangular is increased by 10% and the area is unchanged , then the corresponding altitude must to be decreased by?

91/11 %
10%
111/9 %
11%

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let base = b and altitude = h Then, Area = b x h But New base = 110b / 100 = 11b / 10Let New altitude = HThen, Decrese = (h - 10h /11 )= h / 11? Required decrease per cent = (h/11) x (1 / h ) x 100 %= 91/11 %

Area Problems
A circle and a square have same area. The ratio of the side of the square and the radius of the circle is?

1 : ??
?? : 1
1 : ?
? : 1

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? Area of square = Area of circle ? x2 = ?r2? x/r = ?? = ? ? : 1

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

22
44
84
33

ANSWER DOWNLOAD EXAMIANS APP
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