{"id":8230,"date":"2017-05-25T19:37:57","date_gmt":"2017-05-25T19:37:57","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/prealgebra\/?post_type=chapter&p=8230"},"modified":"2019-05-27T05:47:30","modified_gmt":"2019-05-27T05:47:30","slug":"solve-geometry-applications-circles-and-irregular-figures","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/csn-prealgebra\/chapter\/solve-geometry-applications-circles-and-irregular-figures\/","title":{"raw":"Introduction to Solving Problems With Circles and Irregular Figures","rendered":"Introduction to Solving Problems With Circles and Irregular Figures"},"content":{"raw":"

What you'll learn to do: Use the properties of circles and irregular figures to solve problems<\/h2>\r\n\"\"<\/a>\r\n\r\nIt is your coworkers birthday tomorrow and you decide to make a cake to bring to the office. The container you have is a square with side length 12 inches exactly. If your cake will be circular, what is the largest cake you can make? To find out, you will need to understand the properties of circles. In this chapter, you will also learn about the areas of irregular figures.\r\n

Before you get started, take this readiness quiz.<\/p>\r\n\r\n

\r\n

Readiness Quiz<\/h3>\r\n1)\r\n\r\n[ohm_question]144879[\/ohm_question]\r\n\r\nIf you missed this problem, review this example.\r\n
\r\n\r\nEvaluate [latex]{x}^{2}[\/latex] when [latex]x=10[\/latex].\r\n\r\n[reveal-answer q=\"729694\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"729694\"]\r\n\r\nSolution\r\nWe substitute [latex]10[\/latex] for [latex]x[\/latex], and then simplify the expression.\r\n\r\n\r\n\r\n\r\n\r\n\r\n
<\/td>\r\n[latex]x^2[\/latex]<\/td>\r\n<\/tr>\r\n
Substitute [latex]\\color{red}{10}[\/latex] for x.<\/td>\r\n[latex]{\\color{red}{10}}^{2}[\/latex]<\/td>\r\n<\/tr>\r\n
Use the definition of exponent.<\/td>\r\n[latex]10\\cdot 10[\/latex]<\/td>\r\n<\/tr>\r\n
Multiply.<\/td>\r\n[latex]100[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\nWhen [latex]x=10[\/latex], the expression [latex]{x}^{2}[\/latex] has a value of [latex]100[\/latex].\r\n\r\n[\/hidden-answer]\r\n\r\n<\/div>\r\n \r\n\r\n2)\r\n\r\n[ohm_question]146563[\/ohm_question]\r\n\r\n3)\r\n\r\n[ohm_question]146611[\/ohm_question]\r\n\r\nIf you missed either of these problems, review these videos.\r\n\r\nhttps:\/\/youtu.be\/sHtsnC2Mgnk\r\n\r\nhttps:\/\/youtu.be\/SIKkWLqt2mQ\r\n\r\n \r\n\r\n<\/div>\r\nIn this section, we\u2019ll continue working with geometry applications. We will add several new formulas to our collection of formulas. To help you as you do the examples and exercises in this section, we will show the Problem Solving Strategy for Geometry Applications here.\r\n\r\nProblem Solving Strategy for Geometry Applications<\/strong>\r\n\r\n Read <\/strong> the problem and make sure you understand all the words and ideas. Draw the figure and label it with the given information.\r\n Identify <\/strong> what you are looking for.\r\n Name <\/strong> what you are looking for. Choose a variable to represent that quantity.\r\n Translate <\/strong> into an equation by writing the appropriate formula or model for the situation. Substitute in the given information.\r\n Solve <\/strong> the equation using good algebra techniques.\r\n Check <\/strong> the answer in the problem and make sure it makes sense.\r\n Answer <\/strong> the question with a complete sentence.","rendered":"

What you’ll learn to do: Use the properties of circles and irregular figures to solve problems<\/h2>\n

\"\"<\/a><\/p>\n

It is your coworkers birthday tomorrow and you decide to make a cake to bring to the office. The container you have is a square with side length 12 inches exactly. If your cake will be circular, what is the largest cake you can make? To find out, you will need to understand the properties of circles. In this chapter, you will also learn about the areas of irregular figures.<\/p>\n

Before you get started, take this readiness quiz.<\/p>\n

\n

Readiness Quiz<\/h3>\n

1)<\/p>\n