Swimming half way around implies half of the circumference.
Circumference = pi x diameter
C = pi x 20
C = 20pi
20pi / 2 = 10pi
You swam 10pi meters = 31.42 meters.
Hope this helps!! :)
Distance covered while swimming half way around the lake is equal to [tex]10\pi[/tex] meters.
" Distance is defined as the total length between the space between the given two points."
Formula used
Circumference of the circle [tex]= 2\pi r[/tex]
[tex]r=[/tex] radius of the circle
Radius [tex]= \frac{d}{2}[/tex]
[tex]d=[/tex] diameter of the circle
According to the question,
Given,
Diameter of the circle [tex]= 20[/tex] meters
radius of the circle [tex]= \frac{20}{2}[/tex]
[tex]= 10[/tex] meters
Distance around the lake = Circumference of the lake
Substitute the value in the formula to get the circumference of the lake we have,
Circumference of the lake [tex]= 2 \times \pi \times 10[/tex]
[tex]= 20\pi[/tex] meters
Distance covered while swimming half way around the lake
= Half of the circumference of the lake
[tex]= \frac{20\pi }{2}\\\\= 10\pi \ meters[/tex]
Hence , distance covered while swimming half way around the lake is equal to [tex]10\pi[/tex] meters.
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