A) \[(\pi /3){{\left( 2+\sqrt{3} \right)}^{2}}\]
B) \[6\pi {{\left( 2+\sqrt{3} \right)}^{2}}\]
C) \[3\pi {{\left( 2+\sqrt{3} \right)}^{2}}\]
D) \[\left( \frac{\pi }{6} \right){{\left( 2+\sqrt{3} \right)}^{2}}\]
Correct Answer: A
Solution :
(a): Let A, B, C be centers of three circle having radius 1cm and O is the center of the circle circumscribing these three circles. \[AC=AB=BC=2cm\] By using the formula for circum-radius, we can calculate OC; \[OC=\frac{2}{3}\times \frac{\sqrt{3}}{2}\times 2=\frac{2}{\sqrt{3}}\] \[OX=OC+CX=\frac{2}{\sqrt{3}}+1\]You need to login to perform this action.
You will be redirected in
3 sec