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11. Agriculture Some farmers use a circular irrigation method. An irrigation arm acts as the radius of an irrigation circle. How much land is covered with an irrigation arm of 300 ft? 12. You use an online store locator to search for a store within a 5-mi radius of your home. What is the area of your search region?

11. Agriculture Some farmers use a circular irrigation method. An irrigation arm acts as the radius of an irrigation circle. How much land is covered with an irrigation arm of 300 ft? 12. You use an online store locator to search for a store within a 5-mi radius of your home. What is the area of your search region?

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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### Agriculture and Geometry in Daily Life #### Question 11: Circular Irrigation in Agriculture Some farmers use a circular irrigation method. An irrigation arm acts as the radius of an irrigation circle. How much land is covered with an irrigation arm of 300 ft? **Explanation**: In this problem, farmers use a circular irrigation system where the irrigation arm's length is the radius of the circle. To determine the land area covered, we need to find the area of a circle with a radius of 300 feet. The formula for the area of a circle is \( A = \pi r^2 \), where \( A \) is the area and \( r \) is the radius. #### Question 12: Using an Online Store Locator You use an online store locator to search for a store within a 5-mile radius of your home. What is the area of your search region? **Explanation**: This question involves finding the area within a 5-mile radius around your home. Again, this is a circle problem where the radius is given as 5 miles. Using the area formula \( A = \pi r^2 \), we can calculate the search region's area. Both questions involve practical applications of geometry, specifically using the properties of circles to calculate area based on the radius.
Transcribed Image Text:### Agriculture and Geometry in Daily Life #### Question 11: Circular Irrigation in Agriculture Some farmers use a circular irrigation method. An irrigation arm acts as the radius of an irrigation circle. How much land is covered with an irrigation arm of 300 ft? **Explanation**: In this problem, farmers use a circular irrigation system where the irrigation arm's length is the radius of the circle. To determine the land area covered, we need to find the area of a circle with a radius of 300 feet. The formula for the area of a circle is \( A = \pi r^2 \), where \( A \) is the area and \( r \) is the radius. #### Question 12: Using an Online Store Locator You use an online store locator to search for a store within a 5-mile radius of your home. What is the area of your search region? **Explanation**: This question involves finding the area within a 5-mile radius around your home. Again, this is a circle problem where the radius is given as 5 miles. Using the area formula \( A = \pi r^2 \), we can calculate the search region's area. Both questions involve practical applications of geometry, specifically using the properties of circles to calculate area based on the radius.
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