Question 14
On the $xy$-plane, let $S$ denote the region consisting of all points $(x,y)$ for which
$$\left|x+\frac12y\right|\le10,\qquad |x|\le10,\qquad |y|\le10.$$
The largest circle centred at $(0,0)$ that can be fitted in the region $S$ has area $k\pi$. Find $k$.
$$\left|x+\frac12y\right|\le10,\qquad |x|\le10,\qquad |y|\le10.$$
The largest circle centred at $(0,0)$ that can be fitted in the region $S$ has area $k\pi$. Find $k$.