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Area Problems

Area Problems
The area of circle is 38.5 sq. cm. Its circumference is?

11 cm
121 cm
22 cm
6.20 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? ( 22 x r2) / 7 = 38.5? r2 =(38.5 x 7) /22? r = 3.5 cm? Circumference = 2 x (22/7) x 3.5 cm= 22 cm

Area Problems
Four horses are be tethered at four concern of a square plot of side 63 meters, so that they just cannot reach one another. The area left ungrazed is?

780.6 m2
850.5 m2
785.8 m2
675.5 m2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area left ungrazed = [(63 x 63) - (4 x 1/4 x 22/7 x (63/2)2] m2= (63 x 63 - (99 x 63)/2 ) m2= 63 x (63 - 99/2) m2= 850.5 m2

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
216/? sq cm
318/? sq cm
256/? 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
Area of a square is 1/2 hectare. The diagonal of the square is?

50? 2 meter
250 meter
100 meter
50 meter

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area = 1/2 hectare = 10000 / 2 m2= 5000 m2Again Area = 1/2 x (Diagonal)2So 1/2 x (Diagonal)2 = 5000m2? Diagonal2= 10000 ? Diagonal = 100

Area Problems
The wheel of an engine turns 350 times round its axle to cover a distance of 1.76 km. The diameter of the wheel is

3 cm
9 cm
?3 cm
3?3 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Distance covered in 1 round = (Total Distance) / (Total round)= (1.76 x 1000)/350= 176/35 m ? 2?r = (1.76 x 100) / 35 cm2? = Diameter = 17600 x 7/22 x 35 = 160 cm

Area Problems
A room 5.44 m x 3.75 m is to be paved with square tiles. the least number of tiles required to cover the floor is?

176
162
192
184

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area of the room =(544 x 374) cm2size of largest square tile = H.C.F. of 544 & 374 = 34 cm Area of 1 tile = (34 x 34) cm2? Least number of tiles required = (544 x 374) / (34 x 34) = 176

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