The sector area will be 4 times greater.
Since Area of circle is( pi * r ^ 2 )so If the radius of a circle is doubled, the area of the circle will be quadrupled and the circumference will also be doubled. This makes sense because the area of a circle is directly proportional to the square of the radius of the circle (if the radius of a circle is increased x times, its area will be increased to x^2 times the original area), whereas the circumference is proportional to the size of the radius (if the radius of a circle is increased x times, its circumference will increase x times).
If the radius is doubled, then the effect on the area of sector XYZ is the sector area will be 4 times greater.
The Area of the circle is( pi * r ^ 2 ).
So, If the radius of a circle is doubled,
The area of the circle will be quadrupled and the circumference will also be doubled.
This makes sense because the area of a circle is directly proportional to the square of the radius of the circle (if the radius of a circle is increased x times,
Its area will be increased to x^2 times the original area),
Whereas the circumference is proportional to the size of the radius.
(if the radius of a circle is increased x times, Its circumference will increase x times).
If the radius is doubled, then the effect on the area of sector XYZ is the sector area will be 4 times greater.
To learn more about the circumference visit:
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