The radius of the circle is 7 cm. The secant drawn from a point located at a distance of 9 cm

The radius of the circle is 7 cm. The secant drawn from a point located at a distance of 9 cm from the center is divided by the circle in half. Find the length of the secant.

If we know that the radius of AO = 7 cm, and the secant OS = 9 cm, we can find the total length of the secant AS
AB is the diameter of the circle
AB = AO + OB
AO = OB
AB = 7 + 7
AB = 14 cm
we know that the secant OS = 9 cm, we can find BC
ВС = ОВ-ОВ
BC = 9-7
BC = 2 cm
now we can find the length of the AC
AC = AB + BC
AC = 14 + 2
AC = 16 cm
answer secant length = 16 cm