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Area Problems

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

12r
6r
3r
9r

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Area Problems
In a rhombus, whose area is 144 sq.cmone of its diagonal is twice as long as the other, The lengths of its diagonals are?

6 cm, 12 cm
6 ?2 cm, 12?2 cm
24 cm, 48 cm
12 cm, 24 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area of rhombus = (d1 x d2) / 2? (d x 2d ) / 2 = 144? d2 = 144? d = 12 ? Length of diagonal = 12 cm, 24 cm

Area Problems
Find the area of a rectangle having 15m length and 8m breadth.

111 sq m
120 sq m
115 sq m
125 sq m

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Required area = Length x Breadth= 15 x 8 = 120 sq m

Area Problems
The length of a rectangle is double while its breadth is halved. What is the percentage change in area?

50
No change
None of these
75

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let length = l and breadth = bThen, area = lb New length = 2lAnd new breadth = b/2 ? New area = ( 2l ) x (b/2) = lbSo, there is no change in area .

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
35 sq.cms
8. 75 sq.cms
17.5 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 radius of a circle is increased by 6%, find the percentage increase in its area.

12.36%
17%
15%
8.39%

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given that, a = 6 According to the formula,Percentage increase in area= 2a + [a2/100]%= 2 x 6 + [36/100]%= (12 + 0.36)%= 12.36%

MORE MCQ ON Area Problems

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