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Question 6 of 10 In the diagram below, what is the approximate length of the minor arc ĀB? B A. 21 cm 20 cm 120 B. 42 cm C. 31 cm D. 63 cm SUBMIT
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Question 6 of 10 In the diagram below, what is the approximate length of the minor arc ĀB? B A. 21 cm 20 cm 120 B. 42 cm C. 31 cm D. 63 cm SUBMIT

User Mourad MAMASSI
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2 Answers

2 votes

Answer:

its 42 cm

Explanation:

User Godric
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5.0k points
2 votes

\begin{gathered} Length\text{ of AB} \\ \text{length = r}\cdot\theta \\ r=20\operatorname{cm} \\ \theta=120,but\text{ it must be in radians} \\ \theta\text{radians }=120\cdot(\pi)/(180) \\ \\ \theta\text{radians }=(2\pi)/(3) \\ \\ \text{length =(20)}\cdot((2\pi)/(3)) \\ \\ \text{length}=\text{ 41.88}\approx42 \\ The\text{ length of the arc AB is 42cm} \end{gathered}

User David Feurle
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