A circle and a rectangle have the same perimeter. The sides of the rectangle are 18 cm and 26 cm. What is the area of the circle ?
A. 88 cm2
B. 154 cm2
C. 1250 cm2
D. Cannot be determined
E. None of these
Answer: Option E
Solution(By Examveda Team)
$$\eqalign{ & 2\pi R = 2\left( {l + b} \right) \cr & \Rightarrow 2\pi R = 2(26 + 18)cm \cr & \Rightarrow R = \left( {\frac{{88}}{{2 \times 22}} \times 7} \right)cm \cr & \Rightarrow R = 14\,cm \cr} $$∴ Area of the circle :
$$\eqalign{ & = \pi {R^2} \cr & = \left( {\frac{{22}}{7} \times 14 \times 14} \right)c{m^2} \cr & = 616\,c{m^2} \cr} $$
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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