Pleea hh ! circle r is shown. line segments q r and s r are radii. the length of q r is 18. sector q r s is shaded. the measure of central angle qrs is startfraction 8 pi over 9 endfraction radians. what is the area of the shaded sector? 36pi units squared 72pi units squared 144pi units squared 324pi units squared

Step-by-step explanation:

In the attached diagram, circle R is shown. Line segments QR and SR are radii and QR = SR = 18 units.

The measure of the central angle QRS is

1. Find the area of the whole circle:

2. Note that the whole circle is determined by the full rotation angle with measure radians. So,

So, write a proportion:

Cross multiply