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Area Problems

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

6 cm
1.5 cm
8 cm
12 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

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

49 cm
44 cm
48 cm
46 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
A rectangle has 20 cm as its length and 200 sq cm as its area. If the area is increased by 1 1/ 5 time the original area by increase its length only then the perimeter of the rectangle so formed (in cm) is

60
64
72
68

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

l1 = 20 cm, A1 = 200 sq cm? b1 = 200/20 = 10 cmNow, A2 = 200 x 6/5 = 240 sq cm b2 = 10 cm? l2 = 240/10 = 24 cm? Perimeter of new rectangle = 2(l2 + b2)= 2(24 + 10) = 2 x 34 = 68 cm

Area Problems
The circumference of a circle is 25 cm. Find the side of the square incribed in the circle.

23/??2
29/??3 cm
21/??3 cm
25/??2 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Circumference of the circle = 2?r = 25? r = 25 / (2?)According to the formula,Side of inscribed square = r?2 = 25 / (2?r x ?2) = 25 / (??2 ) cm

Area Problems
Area of a square with side x is equal to the area of a triangle with base x. The altitude of the triangle is?

x/2
4x
2x
x

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let h be the altitude of triangle.So area of triangle = (1/2)xh area of square = x2From question area of square = area of triangle x2 = (1/2)xh ? h = (2x2)/x = 2x

Area Problems
A veranda 40 meters long 15 meters broad is to paved with stones each measuring 6 dm by 5 dm. the number of stones required is?

2000
3000
1000
None of these

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Length = (40 x 10 ) dm = 400 dm.Breadth = (15 x 10 ) dm = 150 dm.Area of veranda = (400 x 150 ) dm2Area of one stone = (6 x 5 ) dm2? Required number of stones = (400 x 150) /(6 x 5) = 2000

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