What is the radius of a circle whose circumference is 38pi ?

2 Answers
May 10, 2018

#19#

Explanation:

Circumference (#"C"#) of circle is given by the formula

#"C = 2 π r"#

On rearranging

#"r" = "C"/"2 π" = (38 cancel"π")/(2 cancel"π") = 38/2 = 19#

May 10, 2018

#"radius "=19#

Explanation:

#"using the formula for circumference (C) of a circle"#

#•color(white)(x)C=2pirlarrcolor(blue)"r is the radius"#

#"we are given that "C=38pi#

#rArr2pir=38pi#

#"r is multiplied by "2pi#

#"thus divide both sides by "2pi#

#rArr(cancel(2pi) r)/cancel(2pi)=(38pi)/(2pi)=38/2xxcancel(pi)/cancel(pi)=19#

#rArr"radius "=19#