MATH SOLVE

2 months ago

Q:
# What is the area of a sector with a central angle of 4π5 radians and a radius of 11 cm? Use 3.14 for π and round your final answer to the nearest hundredth. Enter your answer as a decimal in the box. 11 cm²

Accepted Solution

A:

Answer: 151.98 cm²Step-by-step explanation:[tex]Area_{\ sector}=\dfrac{r^2}{2}\cdot \theta\\\\.\qquad \qquad =\dfrac{(11)^2}{2}\cdot \dfrac{4}{5}\pi\\\\.\qquad \qquad =\dfrac{242}{5}\pi\\\\.\qquad \qquad =151.976[/tex]