Question

Which best explains the formula?

Answer 1

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

$\textrm{Area Of Sector}=\dfrac{\theta}{360\°}\times \pi r^{2}$

Where,

$\theta=\textrm{Center Angle}\\\\360\°=\textrm{Total Angle measure of a Circle}\\\\\pi r^{2}= \textrm{Area of a Circle}$

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.