Answer:
[tex]\theta=102.85^{\circ}[/tex]
Step-by-step explanation:
Given that,
The radius of circle, r = 7 cm
The area of sector, A = 44cm²
We need to find the angle of the sector. The formula for the area of sector is given by :
[tex]A=\dfrac{\theta}{360}\pi r^2[/tex]
Solve for [tex]\theta[/tex].
[tex]\theta=\dfrac{360A}{\pi r^2}\\\\\theta=\dfrac{360\times 44}{\dfrac{22}{7}\times 7^2}\\\\\theta=102.85^{\circ}[/tex]
So, the angle of the sector is equal to [tex]102.85^{\circ}[/tex].
