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Elan Coil
1 month ago
6

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

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

Mathematics
2 answers:
babunello [11.8K]1 month ago
5 0

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]1 month ago
4 0

Answer: 144π square units

Step-by-step breakdown:

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