Question

$x^2+y^2=r^2$ can be constructed using straight edge and a compass as

• A. $x^2+y^2=r^2$ has powers of 2
• B. $x^2+y^2=r^2$ has powers of 4
• C. $x^2+y^2=r^2$ has powers of 6
• D. $x^2+y^2=r^2$ has powers of 8

Answer 1

The correct option is A $x^2+y^2=r^2$ has powers of 2

$x^2+y^2=r^2$ is a circle of radius r.


$x^2+y^2=r^2$ can be constructed using straight edge and a compass as $x^2+y^2=r^2$ has perfect powers of $2$.

Only things that we can construct are things that have associated equations that basically just have powers of $2$.