5. A total of 64 athletes enter a competition, and of the athletes are gymnasts. Some of the gymnasts perform a vault, and the rest
perform a floor routine. The ratio of the number of gymnasts
performing a vault to the total number of gymnasts in the
competition is 1 : 4. How many gymnasts perform a floor routine
in the competition? Explain.

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Step-by-step explanation:

fwms@lil_ben06

step-by-step explanation:

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm