Question

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

Answer 1

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:

$\frac{2\pi\text{ rad}}{2.37\text{ rad}}=\frac{221.6708^{}}{x^{}}\text{ }$

Solving for x:

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