$\"\"$

The permeter of a sector of a circle $\"\"$ is equal to is the sum of the arc length $\"\"$ and two times the radius $\"\"$ .

$\"\"$ .

Arc length : $\"\"$ .

Since doubling the radius of a circle, $\"\"$ .

New arc length : $\"\"$ .

Substitute $\"\"$ in $\"\"$ .

$\"\"$

New permeter of a sector of a circle $\"\"$ .

Substitute $\"\"$ and $\"\"$ in $\"\"$ .

$\"\"$

If radius is doubled, then the perimeter would also double.

$\"\"$

Area of a sector of the circle $\"\"$ .

Since doubling the radius of a circle, $\"\"$ .

New area of a sector of the circle $\"\"$ .

Substitute $\"\"$ in $\"\"$ .

$\"\"$

If radius is doubled, then the area of a sector of the circle would quadruple.

$\"\"$

If radius is doubled, then the perimeter would also double.

If radius is doubled, then the area of a sector of the circle would quadruple.