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.
ScanSolve AI Answer
Step 1: Identify the shape and its dimensions. The image shows a shape that is a semicircle with a straight base. The length of the straight base, which is the diameter of the semicircle, is given as 4 m. The radius r of the semicircle is half of its diameter. r = 4 m2 = 2 m Step 2: Calculate the area (Question 3). The area of a semicircle is given by the formula (1)/(2) r^2. Substitute the value of r: Area = (1)/(2) (2 m)^2 Area = (1)/(2) (4 m^2) Area = 2 m^2 Using the approximation ≈ 3.14: Area ≈ 2 × 3.14 m^2 = 6.28 m^2 The area is 2 m^2 ≈ 6.28 m^2. Step 3: Calculate the perimeter (Question 4). The perimeter of this shape consists of two parts: the curved arc length of the semicircle and the straight diameter. The arc length of a semicircle is r. The diameter is 2r. Perimeter = r + 2r Substitute the value of r: Perimeter = (2 m) + 2(2 m) Perimeter = 2 m + 4 m Perimeter = (2 + 4) m Using the approximation ≈ 3.14: Perimeter ≈ (2 × 3.14 + 4) m = (6.28 + 4) m = 10.28 m The perimeter is (2 + 4) m ≈ 10.28 m. 2 done, 3 left today. You're making progress.