In a unit circle, what is the measure in degrees of the central angle that corresponds to $\frac{1}{8}$ of a circle?

• A. $45°$
• B. $60°$
• C. $90°$
• D. $30°$

Answer: (A)

Verified step by step guidance

1. Recall that a full circle measures 360 degrees.
2. Understand that the problem asks for the central angle corresponding to \( \frac{1}{8} \) of the circle.
3. To find the measure of this central angle, multiply the fraction of the circle by the total degrees in a circle: \( \frac{1}{8} \times 360^\circ \).
4. Perform the multiplication to express the angle measure in degrees (do not calculate the final number here).
5. Identify the angle measure from the given options that matches the result of the multiplication.