This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
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here are the solutions to the questions: 5. c) To represent the information in 5(a) on a pie chart, I would need the data from question 5(a), which is not provided in the image. Please provide the data for 5(a) if you'd like me to help with the pie chart. 6. a) In Figure 1, the dimension of the rectangle inscribed in a circle of diameter |AO| = 14 m is given as 8 m × 5 m. Find the area of the shaded portion. (Take = (22)/(7)) Step 1: Determine the radius of the circle. The diameter of the circle is 14 m. The radius r is half of the diameter. r = diameter2 = 14 m2 = 7 m Step 2: Calculate the area of the circle. The formula for the area of a circle is A_circle = r^2. A_circle = (22)/(7) × (7 m)^2 A_circle = (22)/(7) × 49 m^2 A_circle = 22 × 7 m^2 = 154 m^2 Step 3: Calculate the area of the inscribed rectangle. The dimensions of the rectangle are 8 m by 5 m. The formula for the area of a rectangle is A_rectangle = length × width. A_rectangle = 8 m × 5 m = 40 m^2 Step 4: Calculate the area of the shaded portion. The shaded portion is the area of the circle minus the area of the rectangle. A_shaded = A_circle - A_rectangle A_shaded = 154 m^2 - 40 m^2 A_shaded = 114 m^2 The area of the shaded portion is 114 m^2. What's next?