cmi-entrance 2014 QA11

cmi-entrance · India · ugmath 4 marks Radians, Arc Length and Sector Area
Let $A _ { n } =$ the area of a regular $n$-sided polygon inscribed in a circle of radius 1 (i.e., vertices of this regular $n$-sided polygon lie on a circle of radius 1). (i) Find $A _ { 12 }$. (ii) Find $\left\lfloor A _ { 2014 } \right\rfloor$, i.e., the greatest integer $\leq A _ { 2014 }$.
Let $A _ { n } =$ the area of a regular $n$-sided polygon inscribed in a circle of radius 1 (i.e., vertices of this regular $n$-sided polygon lie on a circle of radius 1). (i) Find $A _ { 12 }$. (ii) Find $\left\lfloor A _ { 2014 } \right\rfloor$, i.e., the greatest integer $\leq A _ { 2014 }$.