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Step-by-step explanation :
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As, it is given that, the radius of a circle is 17 yards and we are to find the circumference of the circle.
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We know that,
![{\longrightarrow {\qquad{\mathfrak {\pmb{ Circumference_((circle)) = 2 \pi r }}}}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/76km0ad4n1glzn9znszj9u25kmxrsyqm2e.png)
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Here,
- r is the radius of the circle.
- We'll take the value of π as 3.14
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Now, substituting the values :
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![{\longrightarrow {\qquad{\sf {{ Circumference_((circle)) = 2 * 3.14 * 17 }}}}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/yzgivnsnfoj5hkdtlbt1nws37yqs3tnt0k.png)
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![{\longrightarrow {\qquad{\sf {{ Circumference_((circle)) = 6.28 * 17 }}}}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/st76gjbtffaxggvg2afnln55kr5vtk574d.png)
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![{\longrightarrow {\qquad{\mathfrak {\pmb{ Circumference_((circle)) = 106.76}}}}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/smri5bx063p6hk3v96u4f8phiavqntdzh5.png)
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Therefore,
- The circumference of the circle is 106.76 yards