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hello can you help me with this trigonometry question read carefully of how it has to be answered

Hello Can You Help Me With This Trigonometry Question Read Carefully Of How It Has To Be Answered class=

Sagot :

Area of a circle = πr²

Replacing with radius = 8.4 in:

Area of a circle = π(8.4)²

Area of a circle = 221.6708 in²

This area corresponds to 2π radians. To find the area corresponding to 2.37 radians, we can use the next proportion:

[tex]\frac{2\pi\text{ rad}}{2.37\text{ rad}}=\frac{221.6708^{}}{x^{}}\text{ }[/tex]

Solving for x:

[tex]\begin{gathered} 2\pi\cdot x=221.6708\cdot2.37 \\ x=\frac{525.359796}{2\pi} \\ x=83.6136\text{ sq. in} \end{gathered}[/tex]

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