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Area Problems

Area Problems
What is the diameter of the circle having 3 cm radius?

12 cm
6 cm
1.5 cm
8 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Radius = Diameter/2 ? Diameter = 2 x Radius = 2 x 3 = 6 cm

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

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

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Area Problems
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?

265 sq cm
255 sq cm
235 sq cm
245 sq cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Diameter of the circle = 13 + 5 = 18 cm? Radius = Diameter/2 =18/2 = 9 cm Area of the circle = ?r2 = (22/7) x 92 = (22 x 81)/9 = 1782/7 = 254.57 sq cm= 255 sq cm

Area Problems
If the side of a square is increased by 25%, then how much percent does its area get increased?

156.25
50
56.25
125

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let area 100 m2Then, side = 10 m New side = 125 % of 10= (125/100) x 10= 12.5 m New area = 12.5 x 12.5 m2=(12.5)2 sq. m? Increase in area = (12.5)2 - (10)2 m2= 22.5 x 2.5 m2=56.25 m2% Increase = 56.25 %

Area Problems
The length of a plot is four times its breath. A playground measuring 1200 square meters occupies one third of the total area of a plot . what is the length of the plot in meters?

30
60
20
None of these

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area of the plot = (3 x 1200) m2= 3600 m2Let breadth = y metersThen Length = 4y meters,Now area = 4y x y = 3600 m2? y2 = 900 m2? y = 30 m? Length of plot = 4y m= (4 x 30) m=120 m

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