The measure of central angle QRS is StartFraction 8 pi Over 9 EndFraction radians. What is the area of the shaded sector? 36Pi u

Question

3 months ago

6

nits squared 72Pi units squared 144Pi units squared 324Pi units squared

2 answers:

babunello [11.8K] · Answer 1 · 2026-02-22T19:00:08+03:00

The illustration is omitted. Please see the attachment below.

Answer:

The area of the shaded sector is 144π square units.

Step-by-step breakdown:

Given:

The central angle for the sector is, $\theta=\frac{8\pi}{9}\ rad$

The circle's radius is, $R=18\ units$

The area of a sector with radius 'R' and angle $\theta$ can be determined with:

$A=\frac{1}{2}R^2\theta$

Substituting $\theta=\frac{8\pi}{9},R=18$ gives

$A=\frac{1}{2}\times (18)^2\times \frac{8\pi}{9}\\\\A=(\frac{324\times 4}{9})\pi\\\\A=(36\times 4)\pi\\\\A=144\pi\ units^2$

Thus, the area of the shaded sector calculates to 144π square units.

Zina [12.3K] · Answer 2 · 2026-02-22T18:57:50+03:00

4 0

Answer: 144π square units

Step-by-step breakdown: