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Question
applying circumference
this shape is made up of one half - circle attached to an equilateral triangle with side lengths 17
you can use 3.14 as an approximation for π.
start by labeling the sides of the triangle. remember, an equilateral triangle is a triangle in which all 3 sides are equal, and this triangle has side lengths of 17 inches.
Step1: Recall equilateral - triangle property
In an equilateral triangle, all side - lengths are equal. Given the side - length of the equilateral triangle is 17 inches.
Step2: Identify side - lengths of the figure
The two non - circular sides of the figure are sides of the equilateral triangle, so their lengths are 17 inches each.
Step3: Calculate the length of the semi - circular arc
The diameter of the semi - circle is equal to the side - length of the equilateral triangle, so \(d = 17\) inches. The formula for the circumference of a full circle is \(C=\pi d\). For a semi - circle, the arc length \(l=\frac{1}{2}\pi d\). Using \(\pi\approx3.14\), we have \(l=\frac{1}{2}\times3.14\times17 = 26.69\) inches.
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The two side - lengths of the equilateral - triangle part are 17 inches each, and the length of the semi - circular arc is 26.69 inches.