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A sector has an area of 18 square centimeters and is defined by a circle with a radius of 4 cm, determine the approximate central angle for the sector to the nearest degree

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Answer:

Step-by-step explanation:

The area for a sector is

[tex]A=\frac{\theta}{360}*\pi r^2[/tex]

Filling in A = 18 and r-squared is 16:

[tex]18=\frac{16\pi \theta}{360}[/tex]

Multiply both sides by 360 to get

[tex]6480=16\pi \theta[/tex] and divide both sides by 16π to get

[tex]\theta=129[/tex]°

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