A city is building a circular playground for young children. The playground has a radius of 51 ft. A bench in the shape of an arc will be built along part of the perimeter of the circle for parents to sit and watch their childr play. The length of the bench will be 16 ft. To plan for landscaping, the designer of the park needs to know the portion of the circumference of the circle that the benc occupies. Assist the designer of the park by calculating the central angle that corresponds to the arc-shaped bench. Enter your answer ounded to a whole number of degrees. Central angle measure

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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I have an arc length geometry question.

A city is building a circular playground for young children. The playground has a radius of 51 ft.
A bench in the shape of an arc will be built along part of the perimeter of the circle for parents to sit and watch their children
play. The length of the bench will be 16 ft.
To plan for landscaping, the designer of the park needs to know the portion of the circumference of the circle that the bench
occupies.
Assist the designer of the park by calculating the central angle that corresponds to the arc-shaped bench. Enter your answer
rounded to a whole number of degrees.
Central angle measure
Transcribed Image Text:A city is building a circular playground for young children. The playground has a radius of 51 ft. A bench in the shape of an arc will be built along part of the perimeter of the circle for parents to sit and watch their children play. The length of the bench will be 16 ft. To plan for landscaping, the designer of the park needs to know the portion of the circumference of the circle that the bench occupies. Assist the designer of the park by calculating the central angle that corresponds to the arc-shaped bench. Enter your answer rounded to a whole number of degrees. Central angle measure
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