Answer:[tex]8.75\ m^2[/tex]
Step-by-step explanation:
Given
Area of circle is [tex]A=45\ m^2[/tex]
Arc measure [tex]\theta =70^{\circ}[/tex]
and area of sector is given by
[tex]\Rightarrow \frac{\theta }{360^{\circ}}\times \text{Area of circle}[/tex]
[tex]\Rightarrow \frac{70}{360}\times 45[/tex]
[tex]\Rightarrow 0.194\times 45[/tex]
[tex]\Rightarrow 8.75\ m^2[/tex]
So, area of sector is [tex]8.75\ m^2[/tex]
