Answer: 75[tex]\pi[/tex]/2 or [tex]117.81[/tex]
Step-by-step explanation:
-To find the area of a sector, you need the equation:
[tex]\frac{Arc}{360} \pi r^2[/tex]
-Set the measurements onto the equation:
[tex]\frac{60}{360}[/tex] × [tex]\pi (15)^2[/tex]
-Then, you solve:
[tex]\frac{60}{360}[/tex] × [tex]\pi (15)^2[/tex]
[tex]\frac{1}{6}[/tex] × [tex]\pi (15)^2[/tex]
[tex]\frac{1}{6}[/tex] × [tex]225=\frac{75}{2}[/tex]
[tex]\pi[/tex] × [tex]\frac{75}{2} = \frac{75\pi }{2}[/tex]
-Result:
[tex]\frac{75\pi }{2}[/tex] or [tex]117.81[/tex]
