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Area Problems

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

12 cm
6 cm
8 cm
1.5 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

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

3r
9r
6r
12r

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Area Problems
The ratio of the area of square of side a and equilateral triangle of side a is?

2 : ?3
4 :3
2 :1
4 : ?3

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Ratio of area = a2/ ?(3/4) a2= 4/?3 = 4:?3

Area Problems
A triangle with three equal sides has its area equal to 3?3 sq cm . Find its perimeter .

2?3 cm
5?3 cm
6?3 cm
7?3 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

According to the question,?3a2/4 = 3?3 [ side = a, and area = ?3a2/4] ? a2/4 = 3 ? a2 = 3 x 4 ? a = 2?3? Required perimeter = 3a =3 x 2?3 = 6?3 cm

Area Problems
The diameter of a circle is 105 cm less than the circumference. What is the diameter of the circle?

44 cm
46 cm
49 cm
48 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? ?d-d = 105 cm ? (? -1 ) d = 105 cm? [(22/7)-1] x d = 105 cm? d = (7/15) x 105 cm = 49 cm

Area Problems
The ratio of the corresponding sides of two similar triangles is 3 : 4, The ratio of their areas is?

9 : 16
4 : 3
? 3: 2
3 : 4

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Ratio of similar triangle = Ratio of the square of corresponding sides = (3x)2 / (4x)2 = 9x2 / 16x2 = 9/16 = 9 : 16

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