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Area Problems

Area Problems
If the sides of a rectangle are increased by 5%, find the percentage increase in its diagonals.

6%
5%
4%
9%

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

According to the formula,Percentage increase in diagonals = 5%

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

6r
9r
3r
12r

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Area Problems
The circumferences of two concentric are 176 m and 132 m respectively. what is the difference between their radii?

5 meter
44 meter
8 meter
7 meter

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? 2?R - 2?r = (176-132)? 2?(R-r) = 44? R-r = ( 44 x 7 )/ (2 x 22)= 7 m

Area Problems
The perimeter of an equilateral triangle is 90 cm. Find its area.

225?3 sq cm
250?3 sq cm
135?3 sq cm
151?3 sq cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given that, perimeter = 90 cm? 3a = 90 cm       [a = side]? a = 90/3 = 30 cm? Area = ?3a2 / 4 = ?3/4 x (30)2= 900 x ?3/4 = 225?3 sq cm

Area Problems
The radius of a circular field is 25 m. Find the area of the field.

135 ? sq m
625 ? sq m
125 ? sq m
25 ? sq m

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Required area = ?r2 = ? x 25 x 25 = 625? sq m.

Area Problems
The base of right-angled triangle is 5 meters and hypotenuse is 13 meters . Its area will be?

None of these
30m2
28 m2
25m2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Altitude = ?(13)2 - (5)2= ?144 = 12m ? Area of the triangle = (5 x 12 ) / 2 m2= 30m2

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