Find the length of the arc of a circle with a radius 10cm subtended by a central angle of 45?

1 Answer
marfre
Mar 15, 2018

#5/2 pi " cm" ~~ 7.9 " cm"#

Explanation:

Given: circle with #r = 10 cm# and central angle #theta = 45^@#

Arc length using degrees#= theta/360^@ 2 pi r#

#"Arc length" = (45^@)/360^@ 2 pi (10)#

# = 1/8 *20 pi = 5/2 pi " cm" ~~ 7.9 " cm"#

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