The circumferences of two circle are 132 metres and 176 metres respectively. What is the difference between the area of the larger circle and the smaller circle ?
A. 1048 m2
B. 1076 m2
C. 1078 m2
D. 1090 m2
E. None of these
Answer: Option C
Solution(By Examveda Team)
$$\eqalign{ & \Rightarrow 2\pi {R_1} = 132 \cr & \Rightarrow {R_1} = \frac{{132 \times 7}}{{2 \times 22}} \cr & \Rightarrow {R_1} = 21\,m \cr & \Rightarrow 2\pi {R_2} = 176 \cr & \Rightarrow {R_2} = \frac{{176 \times 7}}{{2 \times 22}} \cr & \Rightarrow {R_2} = 28\,m \cr & \therefore {\text{Required difference :}} \cr & = \pi \left( {R_2^2 - R_2^2} \right) \cr & = \pi \left( {{R_2} + {R_1}} \right)\left( {{R_2} - {R_1}} \right) \cr & = \left( {\frac{{22}}{7} \times 49 \times 7} \right){m^2} \cr & = 1078\,{m^2} \cr} $$Related Questions on Area
A. 15360 m2
B. 153600 m2
C. 30720 m2
D. 307200 m2
E. None of these
A. 2%
B. 2.02%
C. 4%
D. 4.04%
E. None of these
A. 16 cm
B. 18 cm
C. 24 cm
D. Data inadequate
E. None of these
The percentage increase in the area of a rectangle, if each of its sides is increased by 20% is:
A. 40%
B. 42%
C. 44%
D. 46%
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