The circumference of a circle or ellipse is its perimeter. The diameter of the circle whose circumference is 26 5/7 ft is 8.5 ft.
What is the Circumference?
The circumference of a circle or ellipse is its perimeter. That is, if the circle was expanded out and straightened out to a line segment, the circumference would be the arc length of the circle.
We know the circumference of a circle is 26 5/7 ft. Therefore, if we use the formula of the circumference of the circle,
[tex]\text{Circumference of the circle} = \pi D\\\\26\dfrac{5}{7} = \pi D\\\\\dfrac{(26 \times 7)+5}{7 \times \pi} = D\\\\\dfrac{187}{7\pi}=D\\\\D = 8.4999 \approx 8.5\rm\ ft[/tex]
Hence, the diameter of the circle whose circumference is 26 5/7 ft is 8.5 ft.
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