The athletics track consists of a rectangle and two semi-circles. inside the track there is a VIP SECTION 20M LONG AND 15M WIDE. during a 6 km race evenner ran 8.05 rounds before fainting. how many km (three decimal places) did she run?

1 Answer
Apr 25, 2018

Assuming the athletic track is as shown in the figure below.
warosu.org

#ABCD# represents VIP section with #x=20\ m# and #r=15/2# #=7.5\ m#

Track length #="semi circle "AB+BC+"semi circle "CD+DA#
#=>#Track length #=pixx7.5+20+pixx7.5+20#
#=>#Track length #=87.1239\ m#
Runner ran #8.05# rounds of track
Distance run #=8.05xx87.1239\ m#
Distance run #=701.347/1000=0.701\ km#