Question

From an external point E, Tangents ES and ET are drawn to circle O. If measurement of angle E= 78 find the measure of Minor arc ST

Answer 1

E = 78, then O = 180 - 78 = 102 deg
Perimeter of circle: 2Pi*R. Length of minority arc x:

x/2Pi*R = 102/360 --> x = 204*Pi*R/360

Answer 2

im still confused

Answer 3

Angle = Total 360 deg minus <E(78), minus two right angles S and T.
< SOT = 360 - (78) - (90) - (90) = 102 deg
The ratio: min. length ST/circle perimeter is equal to the ratio: 102 deg/360 deg. Equation: x/2Pi*R = 102/360
x = 102 (2Pi*R)/360 = 204Pi*R/360.
When Radius R is given, then we can compute length x.