Answer:
115° 71"
Step-by-step explanation:
Area of circle:
r = 7 cm
[tex]\sf \boxed{Area \ of \ circle = \pi r^2}[/tex]
[tex]\sf = \dfrac{22}{7}*7*7[/tex]
= 22 *7
= 154 square cm.
[tex]\sf \boxed{Area \ of \ circle = \dfrac{\theta}{360}*\pi r^2}[/tex]
[tex]\sf \dfrac{\theta}{360}*\pi r^2=49.5 \ cm^2[/tex]
[tex]\sf \dfrac{\theta}{360}*\dfrac{22}{7}*7*7=49.5\\\\\dfrac{\theta}{360}*22*7 = 49.5\\[/tex]
[tex]\sf \theta = \dfrac{49.5*360}{22*7}\\\\[/tex]
= 115° 71"
