MATH SOLVE

5 months ago

Q:
# If the radius is doubled, what is the effect on the area of sector XYZ?The sector area will be times greater.The sector area will be 2 times greater.The sector area will be times greater.The sector area will be 4 times greater.

Accepted Solution

A:

Answer:The sector area will be 4 times greater.Explanation: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).