$\"\"$

Use the formula to find the area of the sector.

Area:

$\"\"$ (Area of a sector)

$\"\"$ (Substitute $\"\"$ )

$\"\"$ (Evalute powers)

$\"\"$ (Simplify) $\"\"$

Area of circle $\"\"$

$\"\"$ (Substitute $\"\"$ )

$\"\"$ (Evalute powers) $\"\"$ $\"\"$ (Geometric probability formula)

$\"\"$ (Substitute $\"\"$ )

$\"\"$ (Use a calculator) $\"\"$

The probability that a random point is in the blue sector is about 0.22 or 22%.