Because XY is a tangent, XM is a radius=11, so the area of the circle is π(11)2=121π. sq units.
YM2=XY2+XM2, so 362=XY2+112, 1296=XY2+121, XY2=1175, XY2=25×47, XY=5√47=34.28 units approx.
cosM=XM/YM=11/36, m∠M=72.21° approx. This is 1.2603 radians.
Area of ΔXYM=½XM.XY=½(11)(5√47)=27.5√47=188.53 sq units approx.
Area of ⌔XYM=½(11)2×1.2603=76.25 sq units approx. (Formula is A=½r2θ.)
Length of arc=11×1.2603=13.86 units approx. (Formula is s=rθ.)