Points: 0 of 1
Sketch the following polar rectangle.
\[
R=\left\{(r, \theta): 1 \leq r \leq 2, \frac{\pi}{4} \leq \theta \leq \frac{5 \pi}{4}\right\}
\]

Choose the correct graph below.
A.
B.
c.
D.

Step 1 ：Draw a polar coordinate system, which consists of a series of concentric circles (representing different radii) and rays emanating from the origin (representing different angles).

Step 2 ：Draw two circles with radii 1 and 2 respectively. This is because the condition 1 ≤ r ≤ 2 means that the rectangle extends from the circle of radius 1 to the circle of radius 2.

Step 3 ：Draw two rays at angles of π/4 radians (45 degrees) and 5π/4 radians (225 degrees) counterclockwise from the positive x-axis. This is because the condition π/4 ≤ θ ≤ 5π/4 means that the rectangle extends from the ray at an angle of π/4 radians to the ray at an angle of 5π/4 radians.

Step 4 ：Shade the region defined by these four boundaries (the two circles and the two rays). This shaded region is the polar rectangle.