Circle Y is shown. Line segments X Y and Z Y are radii. The length of X Y is r. Angle X Y Z is StartFraction 2 pi Over 3 EndFraction
If the radius is doubled, what is the effect on the area of sector XYZ?

The sector area will be Three-halves times greater.
The sector area will be 2 times greater.
The sector area will be Two-thirds times greater.
The sector area will be 4 times greater.

Respuesta :

Answer:

The sector area will be 4 times greater.

Step-by-step explanation:

The effect on the area of sector XYZ is that the sector area will be 4 times greater.

Why would the sector area be greater?

Based on the fact that the Area of circle is pi * r ^ 2,

When we double the radius of a circle , the area of the circle will also increase times 4 and the circumference will  double too.

This is the case because the area of a circle is known to be directly proportional to the square of the radius of the circle and as such an increase in  the radius of a circle e.g. x times, the  area of the circle will be increased ( times x^2) that is times the original area.

Based on the fact that the circumference is proportional to the size of the radius, the radius and the circumference will increase the same x times.

Learn more about  Line segments from

https://brainly.com/question/2437195

ACCESS MORE