בכל שרשוט שלפניכם מופיעי ישר החותך שני ישרים מקבילים. מצאו את α:

א. Step 1: Identify the diameter of the semicircles. The semicircles are attached to the sides of the rectangle that measure 20 cm. Therefore, the diameter of each semicircle is 20 cm. Step 2: Calculate the radius. The radius r is half of the diameter. r = diameter2 = 20 cm2 = 10 cm The radius of each semicircle is 10 cm. ב. Step 1: Calculate the area of the rectangle. The dimensions of the rectangle are 40 cm by 20 cm. Area of rectangle = length × width = 40 cm × 20 cm = 800 cm^2 Step 2: Calculate the area of the two semicircles. Two identical semicircles form one full circle. The radius of this circle is 10 cm (from part a). Area of circle = r^2 = (10 cm)^2 = 100 cm^2 Step 3: Calculate the total area of the shape. The total area is the sum of the area of the rectangle and the area of the two semicircles. Total Area = 800 cm^2 + 100 cm^2 ≈ 800 + 100(3.14159) cm^2 ≈ 800 + 314.159 cm^2 ≈ 1114.16 cm^2 The total area of the shape is (800 + 100) cm^2 ≈ 1114.16 cm^2 . ג. Step 1: Identify the segments that form the perimeter. The perimeter consists of the two longer sides of the rectangle and the arc lengths of the two semicircles. The dashed segment is not part of the perimeter. Step 2: Calculate the length of the two longer sides of the rectangle. Each longer side is 40 cm. Length of two sides = 2 × 40 cm = 80 cm Step 3: Calculate the total arc length of the two semicircles. The arc length of two identical semicircles is equal to the circumference of one full circle with radius 10 cm. Circumference of circle = 2 r = 2 (10 cm) = 20 cm Step 4: Calculate the total perimeter of the shape. The total perimeter is the sum of the lengths calculated in Step 2 and Step 3. Total Perimeter = 80 cm + 20 cm ≈ 80 + 20(3.14159) cm ≈ 80 + 62.8318 cm ≈ 142.83 cm The perimeter of the shape is (80 + 20) cm ≈ 142.83 cm. Send me the next one 📸