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Question

Question
8. Find the length of the bolded arc.

Asked By DreamChaser34 at

Answered By Expert

Louis

Expert · 2.1k answers · 2k people helped

Answer

Step 1: Calculate the circumference of the circle using the formula C = 2πr, where r is the radius of the circle.C = 2 * π * 6C = 12π cmStep 2: Calculate the length of the entire circumference by multiplying the circumference by the fraction of the circle represented by the central angle. Length of the entire circumference = (220° / 360°) * 12πLength of the entire circumference = (11/18) * 12πLength of the entire circumference = 22π/3 cmStep 3: The length of the bolded arc is equal to the length of the entire circumference multiplied by the fraction of the circle represented by the central angle.Length of the bolded arc = (220° / 360°) * (22π/3)Length of the bolded arc = (11/18) * (22π/3)Length of the bolded arc = 22π/9 cmAnswer: The length of the bolded arc is 22π/9 cm.

Explanation