Respuesta :

Answer:

≈ 62.8

Step-by-step explanation:

Using the equal ratios of

[tex]\frac{areaof circle}{areaofsector}[/tex] = [tex]\frac{circleangle}{sectorangle}[/tex], that is

[tex]\frac{100\pi }{sector}[/tex] = [tex]\frac{2\pi }{\frac{2\pi }{5} }[/tex] = 5, thus

5 × sector = 100π ( divide both sides by 5 )

sector = 20π = 20 × 3.14 = 62.8 units²