Question

In circle D with mZCFE = 38°, find the angle measure of minor arc CEFEсתי

Answer 1

In the circle, the angle CFE is the angle that arc CE subtends at the circumference

The required angle of minor arc CE is the angle that arc CE subtends at the center.

Recall that there is a theorem in circle geometry that says that the angle that an arc subtends at the center is twice that which it subtends at the circumference.

Applying this theorem , we see that

`\begin{gathered} \text{ Angle measure of Minor arc CE = 2 x }m<\text{CFE} \\ \text{Angle measure of Minor arc CE = 2 x 38 = }76^0 \end{gathered}`

The answer is 76 degrees