A slice of pizza is one eigth of a circle of radius 1 foot. The slice is in the first quadrant, with one edge along the \( x \) -axis, and the center is at the origin. Give equalities describing this region using:

5th Ed: #49

a) \( R:0 \leq r \leq 1\) , \( 0 \leq \theta \leq \frac{\pi}{4} \)
b) \( R_1 \bigcup R_2 \), where \(R_1: 0 \leq x \leq \frac{\sqrt{2}}{2} \) , \( 0 \leq y \leq x \) and \( R_2: \frac{\sqrt{2}}{2} \leq x \leq 1 \) , \( 0 \leq y \leq \sqrt{1-x^2} \)