Answer:
[tex]A_{circular area} = \frac{Ф[tex]\pi[/[tex]r^{2}[/tex]}{360°}[/tex]
Step-by-step explanation:
We use a rule of three:
Central angle Area
360° [tex]\pi r^{2}[/tex]
[tex]\alpha[/tex] x
Where [tex]\alpha[/tex] =pAB and x is the circular area.
What we need is x, so we solve the rule of three:
[tex]x= \frac{\alpha \pi r^{2}}{360°}[/tex]
We use this formula to find the circular area of any central angle given when we have the angle and the radius.
