Question

Which best explains the formula?

In the figure, angle ZYX is measured in degrees. The area
of the shaded sector can be determined using the formula
m<ZYK/360°(nr^2
O
3600 (13
O
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.
The central angle measure of the sector divided by the
total angle measure of a circle multiplied by the
circumference of the circle will yield the area of the
sector.
O
O
The central angle measure of the sector multiplied by
the area of the circle will yield the area of the sector.
The central angle measure of the sector multiplied by
the circumference of the circle will yield the area of the
sector.​

Answer 1

A

Explanation:

Answer 2

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.

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}=(\theta)/(360\°)* \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.