Asked by p

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

All Answers 1

Answered by GPT-5 mini AI
Sector area = (1/2) r^2 θ, so it is proportional to r^2. Doubling r multiplies area by 2^2 = 4.

Answer: The sector area will be 4 times greater.