8.
如图,在边长为2的正方形ABCD中,以B点为圆心,AB为半径构造扇形ABC,点P是AC上一动点,过P作EF⊥BC,分别交AD、BC于E、F.记AE、PE、$\widehat{AP}$构成的封闭区域为S1,PF、FC、$\widehat{PC}$构成的封闭区域为S2,当S1与S2面积相等时,BF的长为( )
0 288638 288646 288652 288656 288662 288664 288668 288674 288676 288682 288688 288692 288694 288698 288704 288706 288712 288716 288718 288722 288724 288728 288730 288732 288733 288734 288736 288737 288738 288740 288742 288746 288748 288752 288754 288758 288764 288766 288772 288776 288778 288782 288788 288794 288796 288802 288806 288808 288814 288818 288824 288832 366461
| A. | 1 | B. | $\frac{4}{3}$ | C. | $\sqrt{2}$ | D. | $\frac{π}{2}$ |