A) area of the circle
B) \[\frac{\pi }{2}\]
C) \[2\pi \]
D) 4
Correct Answer: D
Solution :
We know that, The area of circle\[=\pi {{r}^{2}}=\frac{\pi {{D}^{2}}}{4}\][Where, D = Diameter of circle] and circumference of circle \[=2{{\pi }^{2}}r=\pi D\] Now, according to question \[=\frac{\pi {{D}^{2}}}{4}=\pi D\] \[{{D}^{2}}=4D\]\[\Rightarrow \]\[{{D}^{2}}-4D=0\]\[\Rightarrow \]\[D\,\,(D-4)=0\] \[\therefore \] \[D=4\]
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