The area of sector formula is :
[tex]A=\frac{1}{2}r^2\theta[/tex]
where r = radius
θ = central angle in radians
From the problem, we have :
r = 7 inches
θ = 4π/15
Using the formula above :
[tex]\begin{gathered} A=\frac{1}{2}(7)^2\times\frac{4\pi}{15} \\ A=\frac{98\pi}{15} \end{gathered}[/tex]
ANSWER :
The area of the sector is 98π
