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Area Problems

Area Problems
The area of a circle of radius 5 is numerically what percent its circumference?

150%
250%
350%
450%

ANSWER DOWNLOAD EXAMIANS APP

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

84
33
22
44

ANSWER DOWNLOAD EXAMIANS APP

Area Problems
The radius of a circle has been reduced from 9 cm to 7 cm . the appropriate percentage decrease in area is?

39.5 %
31.5 %
65.5 %
34.5 %

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Original area = (22/7) x 9 x 9 cm2New area = (22/7) x 7 x 7 cm2? Decrease = 22/7 x [(9)2 -(7)2] cm2=(22/7) x 16 x 2 cm2Decrease percent = [(22/7 x 16 x 2) /( 7/22 x 9 x 9)] x 100 %= 39.5 %

Area Problems
A room of 5m 44cm long and 3m 74cm broad is to be paved with squre tiles. Find the least number of squre tiles required to cover the floor.

166
176
146
136

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

area of the room = 544 x 374 sq.cm size of largest square tile = H.C.F of 544cm and 374 cm= 34 cm area of 1 tile = 34x34 sq cm no. of tiles required = (544 x 374) / (34 x 34) = 176

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

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

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Area Problems
If each side of a square is increased by 25%, find the percentage change in its area.

12.25%
56.25%
36.25%
16.25%

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let each side of the square be a. Then, area = . a 2 New side = 125 a 100 = 5 a 4 . New area =  5 a 4 2  =  25 a 2 16   Increase in area =  25 a 2 16 - a 2 = 9 a 2 16 Increase% =  9 a 2 16 * 1 a 2 * 100  % = 56.25%.

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