SOLUTION: {{{ x^2+y^2=25 }}} Convert to polar. A.) {{{ r=25 }}} B.) {{{ r=5 }}} C.) {{{ r^2=5 }}} D.) {{{ r=0 }}}

Algebra ->  Test -> SOLUTION: {{{ x^2+y^2=25 }}} Convert to polar. A.) {{{ r=25 }}} B.) {{{ r=5 }}} C.) {{{ r^2=5 }}} D.) {{{ r=0 }}}      Log On


   

Question 1079666: +x%5E2%2By%5E2=25+ Convert to polar.
A.) +r=25+
B.) +r=5+
C.) +r%5E2=5+
D.) +r=0+
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

reminder:
x=+r%2Acos%28theta%29
y=+r%2Asin%28theta%29
if
x%5E2%2By%5E2=25, than we have
%28r%2Acos%28theta%29%29%5E2%2B%28+r%2Asin%28theta%29%29%5E2=25
r%5E2%2Acos%5E2%28theta%29%2B+r%5E2%2Asin%5E2%28theta%29=25
r%5E2%28cos%5E2%28theta%29%2B+sin%5E2%28theta%29%29=25
r%5E2%281%29=25
r%5E2=25
r=5
answer:
B.) +r=5+