A) circle and the square have equal area
B) circle have larger area than the square
C) square has larger area than the circle
D) area of the square is double that of the circle
Correct Answer: B
Solution :
If p be the common perimeter, then Radius of the circle \[=\frac{P}{2\pi }\]and its area \[=\pi {{\left[ \frac{p}{(2\pi )} \right]}^{2}}=\frac{{{p}^{2}}}{4\pi }\] Each side of the square \[=\frac{p}{4},\]and its area \[=\frac{{{p}^{2}}}{16}\] Area of the circle : Area of the square\[=\frac{{{p}^{2}}}{4\pi }:\frac{{{p}^{2}}}{16}=4:\pi >1\] \[\therefore \] Circle have larger area than the square.
You need to login to perform this action.
You will be redirected in
3 sec
