One section of the island to be sampled by researchers to develop a census of tortoises is a large square, with a side length of 1 kilometer. Researchers intend to place infrared cameras throughout, including along the diagonal of the square. What is the length of the diagonal of this square, expressed in kilometers (rounded to the nearest tenth of a kilometer)? ​

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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

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step-by-step explanation: