Question 67
The square $A B C D$ with side length $1~\mathrm{cm}$ is inscribed in a circle with center $O$. Point $M$ lies on arc $BC$; segment $AM$ meets $BD$ at $P$, and segment $DM$ meets $AC$ at $Q$.
a) Verify that $\angle A Q D=\angle P A D$.
b) Find the area of quadrilateral $A P Q D$.
a) Verify that $\angle A Q D=\angle P A D$.
b) Find the area of quadrilateral $A P Q D$.