Answer:
[tex]Area = 12.00[/tex]
Step-by-step explanation:
Given
[tex]\theta = m\angle RST = 86^o[/tex]
[tex]r = RS = 4[/tex]
Required
Area of RST
The sector area is calculated using:
[tex]Area = \frac{\theta}{360} * \pi r^2[/tex]
So, we have:
[tex]Area = \frac{86}{360} * 3.14 *4^2[/tex]
[tex]Area = \frac{86* 3.14 *4^2}{360}[/tex]
[tex]Area = \frac{4320.64}{360}[/tex]
[tex]Area = 12.00[/tex] ------------ approximated
