Answer:
[tex]\theta=79.98^{\circ}[/tex]
Step-by-step explanation:
Given that,
The area of sector, A = 17.45 cm²
Radius, r = 5 cm
We need to find the angle in the given sector. The area of a sector is given by :
[tex]A=\dfrac{\theta}{360}\times \pi r^2[/tex]
Where
[tex]\theta[/tex] is the angle of sector
[tex]\theta=\dfrac{360\times A}{\pi r^2}\\\\\theta=\dfrac{360\times 17.45}{\pi \times (5)^2}\\\\\theta=79.98^{\circ}[/tex]
So, the angle of sector is [tex]79.98^{\circ}[/tex].
