Answer:
87.61 cm²
Explanation:
The area of a sector is calculated using the formula:
[tex]A=\frac{\theta}{360}\times\pi r^2[/tex]Given:
• The central angle,θ = 205°
,• The radius of the circle, r = 7cm
,• π = 3.14
Substitute these values into the formula:
[tex]\begin{gathered} A=\frac{205}{360}\times3.14\times7^2 \\ \approx87.61\;cm^2 \end{gathered}[/tex]The area of the sector is 87.61 cm² (rounded to the nearest hundredth).
