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Find both the length of AC and the area of sector ABC. Use π = 3.14.

Find both the length of AC and the area of sector ABC. Use π = 3.14.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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**Question 12:** Find both the length of \( \overset{\frown}{AC} \) and the area of sector \( ABC \). Use \( \pi = 3.14 \). **Diagram Explanation:** The image shows a circle with center \( B \) and radius \( 9 \). There are three points marked on the circle: \( A \), \( B \), and \( C \). The angle \( \angle ABC \) is \( 120^\circ \). **Options:** - **A:** length = 56.52 - **B:** length = 18.84 - **C:** length = 84.78 - **D:** area = 18.84 - **E:** area = 84.78 - **F:** area = 254.34 **Instructions:** Evaluate the options to determine the correct length of \( \overset{\frown}{AC} \) and the area of sector \( ABC \).
Transcribed Image Text:**Question 12:** Find both the length of \( \overset{\frown}{AC} \) and the area of sector \( ABC \). Use \( \pi = 3.14 \). **Diagram Explanation:** The image shows a circle with center \( B \) and radius \( 9 \). There are three points marked on the circle: \( A \), \( B \), and \( C \). The angle \( \angle ABC \) is \( 120^\circ \). **Options:** - **A:** length = 56.52 - **B:** length = 18.84 - **C:** length = 84.78 - **D:** area = 18.84 - **E:** area = 84.78 - **F:** area = 254.34 **Instructions:** Evaluate the options to determine the correct length of \( \overset{\frown}{AC} \) and the area of sector \( ABC \).
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