Circle A has a center at #(-6 ,4 )# and a radius of #8 #. Circle B has a center at #(2 ,-5 )# and a radius of #5 #. Do the circles overlap? If not, what is the smallest distance between them?

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Answer 1 · 2016-11-26T19:34:28

#"overlap"#

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#"distance between "O_1 " and "O_2:#

#O_1O_2=d=sqrt((2+6)^2+(-5-4))#

#d=sqrt(8^2+(-9)^2)#

#d=sqrt(64+81)#

#d=sqrt(145)#

#d=12.04#

#k=r_1+r_2#

#k=8+5#

#k=13#

#"so "d < k" 'overlap'"#