Question

The given diagram shows a square inscribed in a circle with centre O The radius of the circle is $6$ cm The perimeter of the shaded region can be written as $(p\pi +q)$ centimetres Then the value of p and q respectively is ________

• A. $12,3$
• B. $3,12$
• C. $3,2$
• D. $2,3$

Answer 1

The correct option is B $3,12$

Perimeter of shaded region = $r+r+\frac{1}{4}\times 2\pi r$

$\Rightarrow p\pi +q=2r+\frac{\pi r}{2}\Rightarrow p\pi +q=\frac{6\pi }{2}+2\times 6$

$\Rightarrow p\pi +q=3\pi +12,thereforep=3\&q=12$