How do you solve #17.67= \frac { 3.14r ^ { 2} } { 2}#?

Question

491 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-05-01T23:26:30

#r ~~ 3.3548#

#17.67 = (3.14r^2)/2#

Multiply both sides by #color(blue)2#:
#17.67 color(blue)(xx 2) = (3.14r^2)/2 color(blue)(xx 2)#

#35.34 = 3.14r^2#

Divide both sides by #color(blue)(3.14)#:
#35.34/color(blue)3.14 = (3.14r^2)/color(blue)3.14#

#11.25477707... ~~ r^2#

Take the square root of both sides:
#r ~~ 3.3548# (rounded to the nearest thousandth's place)

Hope this helps!