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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

0.75 m2
0.375 m2
1.5 m2
1.5 m2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

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
A circular disc of area 0.49 ? square meters, rolls down a length of 1.76 km. The number of revolutions it makes is?

4000
400
600
300

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area = ?r2 = 0.49? ? r = 0.7 mNumber of revolutions = total distance / circumference = (1.76 x 1000) / (2 x 22/7 x 0.7) = 400

Area Problems
In a circle of radius 21 cm an arc subtends an angle of 72° at the centre. The length of the arc is?

13.2 cm
19.8 cm
26.4 cm
21.6 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Arc length = 2?r (?° / 360°) = 2 x (22/7) x 21 x (72° / 360°) cm= 26.4 cm

Area Problems
The area of sector of a circle of radius 5 cm, formed by an arc of length 3.5 cm is?

55 sq.cms
8. 75 sq.cms
17.5 sq.cms
35 sq.cms

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area of sector = ( arc length x radius ) / 2 cm2= (3.5 x 5 ) / 2= 8.75 cm2

Area Problems
If the ratio of the area of two square is 9 : 1 the ratio of their perimeters is?

3:1
9:1
1:3
3:4

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the area of square be (9x)2 m2 and (x2) m2Then, their sides are (3x) m and x metres respectively? Ratio of their perimeters = 12x / 4x=3:1

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