Mathematics

Problem

Consider a square target of side length

10\,\text{units}

representing the universal set

U

. Inside is a circular region

A

of radius

3\,\text{units}

and a rectangular region

B

of dimensions

4 \times 2\,\text{units}

. If region

A

and

B

do not overlap, calculate the probability that a dart hitting the target lands in region

A

B