MJ3 Ch 7.3 – Area of Complex Figures Bellwork 1. The circular fountain in front of the courthouse has a radius of 9.4 feet. What is the circumference of the fountain? Round to the nearest tenth. A= πr2 A = 3.14(9.4)2 A = 3.14(88.36) A = 277.4504 A = 277.5 ft2 You do not have to write the question 2 7 7 • 0 1 2 3 4 5 6 7 8 9 / • 0 1 2 3 4 5 6 7 8 9 / • 0 1 2 3 4 5 6 7 8 9 / • 0 1 2 3 4 5 6 7 8 9 5 • 0 1 2 3 4 5 6 7 8 9 Assignment Review • Circle worksheet Before we begin… • Please take out your notebook and get ready to work… • In today’s lesson we will look at the area of complex figures…that is the area of different shapes put together… • The key here is that you calculate the area for each figure and then add them together…sounds simple… Complex Figures • A complex figure is made up of two or more shapes… • Examples: Calculating Area • To calculate the area of a complex figure calculate the area of each figure and then add the areas together. • Since we are using more than one formula...it is important that you continue to use the formula method to keep the data organized and calculate the correct answer to the problem… Example • First…Identify the shapes…in this case we have a semi-circle and a rectangle • You need to calculate the area of each • Notice that the diameter of the semicircle is not given… • You have to know the characteristics of a rectangle to know that the diameter of the semi-circle is 15m. • Additionally, you will need to divide the 15 by 2 to get the radius of the circle, which you will need for the formula of a circle. 7m 15 m • Also, you will need to ½ the area of the circle to get the area of the semi-circle. Area of Rectangle A = ℓ●w A = 15● 7 7m A = 105 m2 Area of Semi-Circle A = ½ πr2 A = ½ (3.14)(7.5)2 A = ½ (3.14)(56.25) A = ½ (176.625) A = (88.3125) A = 88.3 m2 15 m Area of Complex Figure Rectangle = 105.0 m2 Semi-Circle = 88.3 m2 Total = 193.3 m2 Your Turn • In the notes section of your notebook draw and label the complex figure and then calculate area using the formula method. 12 cm 6 cm Comments • Calculating the area of complex figures is really simple… • However, you have to be able to identify the figures and know their characteristics… • Also, it is important to be organized and use the formula method… • Finally, many students can do this, unfortunately, the do not get the correct answer because they forget to add the areas together… Summary • In the notes section of your notebook summarize the key concepts covered in todaay’s lesson • Today we discussed: • Area of complex figures • What is a complex figure and how do you calculate the area? Assignment • Text p. 328 # 6 – 11 • This assignment is due tomorrow • Make sure that you are showing how you get your answer via the formula method (no work = no credit) • I do not accept late assignments