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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:

4x greater

Step-by-step explanation:

edg correct

abidemiokin

The effect of the area of sector XYZ is that if the radius is doubled, the sector area will be 4 times greater.

How to find the radius of a sector?

The formula for finding the area of a sector is expressed as:

A = Ф/360 * πr²

If the radius is doubled, then;

A1 = Ф/360 * π(2r)²

A1 = Ф/360 * π(4r²)

Divide both equations to have:

A1/A = 4r²/r²

A1/A = 4

A1 = 4A
Hence the sector area will be 4 times greater.

Learn more on area of sector here: https://brainly.com/question/22972014

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