Answer:
Therefore the first option is the best to explain the above Formula.
The central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.
Step-by-step explanation:
Given:
∠ ZYX = center angle
ZY = XY =Radii of Same Circle
Yellow Color Area in the Figure below = area
of the shaded sector
Solution:
Area Of Sector For an angle 'θ' is given as
[tex]\textrm{Area Of Sector}=\dfrac{\theta}{360\°}\times \pi r^{2}[/tex]
Where,
[tex]\theta=\textrm{Center Angle}\\\\360\°=\textrm{Total Angle measure of a Circle}\\\\\pi r^{2}= \textrm{Area of a Circle}[/tex]
Here,
Center Angle is ∠ ZYX = θ
Therefore the first option is the best to explain the above Formula.
The central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.
