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Area Problems

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

150%
450%
250%
350%

ANSWER DOWNLOAD EXAMIANS APP

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

12 cm
1.5 cm
6 cm
8 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
46 cm
48 cm
44 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 rectangular plot is half as long again as it broad. The area of the lawn is 2/3 hectares. The length of the plot is?

(100/ ? 3 ) meters
100 meters
66.66 meters
33 meters

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let breadth = b meters. then, length = 3b/2 meters ? b x 3b/2 = 2/3 X 10000? b2 = (4 x 10000)/9? b = ( 2 X 100)/3 m ? Length = (3/2) x (2/3) x 100 m= 100 m

Area Problems
The length of minute hand of a wall clock is 7 cms. The area swept by minute hand in 30 minutes is?

77 sq. cm
154 sq. cm
147 sq. cm
210 sq. cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Angle swept in 30 min= 180° Area swept = [(22/7) x 7 x 7] x [180°/360°] cm2 = 77 cm2

Area Problems
A man walked diagonally across a square plot. Approximately what was the percent saved by not walking along the edges?

40%
30%
10%
20%

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

let the side of the square be x meterslength of two sides = 2x metersdiagonal =  2 x = 1.414x m   saving on 2x meters = .59x m   saving % =  0 . 59 x 2 x * 100 %   = 30% (approx)

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