In the diagram below, ABC is an equilateral triangle of side length 7 cm. The arcs AB, BC and CA are drawn with centres C, A and B respectively. Find the total length, in cm, of the three arcs. ?

In the diagram below, ABC is an equilateral triangle of side length 7 cm. The
arcs AB, BC and CA are drawn with centres C, A and B respectively. Find the
total length, in cm, of the three arcs. (Using #pi#=22/7)
enter image source here

1 Answer
CW
Apr 21, 2017

total length of the three arcs #=22 "cm"#

Explanation:

Given #DeltaABC# is an equilateral triangle, #angleA=angleB=angleC=60^@#

Length of arc #AB = 2*pi*r*(60/360)#
#= 2*22/7*7*(1/6)=22/3 cm#

As #"arc" AB = "arc" BC = "arc" CA#
#=> "total length of the three arcs" = 3*22/3=22 cm#

Related questions
Impact of this question
2483 views around the world
You can reuse this answer
Creative Commons License