The ratio of circumference and diameter of a circle is 22 : 7. If the circumference be $$1\frac{4}{7}$$ m, then the radius of the circle is :
A. $$\frac{1}{3}\,m$$
B. $$\frac{1}{2}\,m$$
C. $$\frac{1}{4}\,m$$
D. $$1m$$
Answer: Option C
Solution(By Examveda Team)
Given :$$\eqalign{ & \Rightarrow \frac{{{\text{Circumference of circle}}}}{{{\text{Diameter of circle }}}} = \frac{{22}}{7} \cr & \Rightarrow \frac{{{\text{Circumference of circle}}}}{{{\text{Twice of radius}}}} = \frac{{22}}{7} \cr & \Rightarrow \frac{{1\frac{4}{7}}}{{2r}} = \frac{{22}}{7} \cr & \Rightarrow \frac{{\frac{{11}}{7}}}{{2r}} = \frac{{22}}{7} \cr & \Rightarrow \frac{{11}}{{14r}} = \frac{{22}}{7} \cr & \Rightarrow 14r \times 22 = 11 \times 7 \cr & \Rightarrow r = \frac{{11 \times 7}}{{14 \times 22}} \cr & \Rightarrow r = \frac{1}{4}\,m \cr} $$
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%
Join The Discussion