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Area Problems

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

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

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

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

75% decrease
50% increase
25% increase
50% decrease

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let original length = x and original breadth = y. Original area = xy. New length = x . 2 New breadth = 3y. New area = ❨ x x 3y ❩ = 3 xy. 2 2 ∴ Increase % = ❨ 1 xy x 1 x 100 ❩% = 50%

Area Problems
If area of a square is 64 sq cm, then find the area of the circle formed by the same perimeter.

215/? sq cm
256/? sq cm
216/? sq cm
318/? sq cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area of square = 64 sq cm (Side)2 = 64 ? Side = ?64 = 8 cmAccording to the question,? 2?r = 4 x 8 ? r = (4 x 8)/2?? r = 16/?? Area of the circle = ? x (16/?) x (16/?) sq cm = 256/? sq cm.

Area Problems
If the circumference of a circle is increased by 50%, then its area will be increased by?

50%
125%
225%
100%

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Original circumference = 2?r New circumference = (150 /100) x 2 ?r = 3?r 2?R = 3?r? R = 3r/2 Original area = ?r2New area = ?R2= ?9r2 / 4 = 9?r2/4Increase in area = (9?r2/4 ) - (?r2)= (5/4) ?r2Req. increase per cent = [{(5/4) ?r2} / {?r2}] x 100 = 125 %

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

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

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Area Problems
If the diagonals of a rhombus are 4.8 cm 1.4 cm, then what is the perimeter of the rhombus?

10 cm
20 cm
12 cm
5 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Perimeter of rhombus= 2 ? d12 + d22 = 2 ?(4.8)2 + (1.4)2= 2 ?23.04 + 1.96 = 2 ?25 = 2 x 5 = 10 cm

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