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Area Problems

Area Problems
The inner circumference of a circular race track, 14 m wide, is 440 m. Find radius of the outer circle

84
22
33
44

ANSWER DOWNLOAD EXAMIANS APP

Area Problems
A circular wire of radius 42 cm is cut and bent in the form of a rectangle whose sides are in the ratio of 6: 5 . The smaller side of the rectangle is?

72 cm
60 cm
30 cm
132 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Perimeter of rectangle = Circumference of circle = 2?r=2 x ( 22/7 ) x 42= 264 cm Now perimeter of rectangle = 2 x ( 6a + 5a )? 2 x (6a + 5a) = 264? a = 12Smaller side of rectangle = 5a = 60 cm

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

135?3 sq cm
151?3 sq cm
250?3 sq cm
225?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
Find the area of a triangle whose sides measure 8 cm, 10 cm and 12 cm.

8?63 sq cm
7?93 sq cm
6?53 sq cm
5?63 sq cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given that, a = 8 cm, b = 10 cm and c = 12 cm We know, that s = (a + b + c)/2 = (8 + 10 + 12)/2= 30/2 = 15 cm ? (s - a) = (15 - 8) = 7 cm (s - b) = (15 - 10) = 5 cm (s - c) = (15 - 12) = 3 cm ? Area = ?s(s - a) (s - b) (s - c)= ?15 x 7 x 5 x 3= ?1575= ?25 x 63= 5?63 cm

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?

24 cm, 48 cm
6 ?2 cm, 12?2 cm
6 cm, 12 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
The radius of a circle is so increased that its circumference increased by 5%. The area of the circle, then increases by

11.25%
12.5%
10.25%
10.5 %

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Increase in circumference of circle = 5%? Increase in radius is also 5%.Now, increase in area of circle = 2a + (a2/100) %Where, a = increase in radius= 2 x 5 + (5 x 5)/100 % = 10.25%

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