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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1. A circular track has radius 3.5 cm. Find: a) Circumference Step 1: The formula for the circumference of a circle is C = 2 r. C = 2 × (22)/(7) × 3.5\, cm Step 2: Substitute the radius and calculate. C = 2 × (22)/(7) × (7)/(2)\, cm C = 22\, cm The circumference is 22 cm. b) Area Step 1: The formula for the area of a circle is A = r^2. A = (22)/(7) × (3.5\, cm)^2 Step 2: Substitute the radius and calculate. A = (22)/(7) × (3.5 × 3.5)\, cm^2 A = (22)/(7) × 12.25\, cm^2 A = 38.5\, cm^2 The area is 38.5 cm^2. c) Diameter Step 1: The formula for the diameter of a circle is d = 2r. d = 2 × 3.5\, cm Step 2: Calculate the diameter. d = 7\, cm The diameter is 7 cm. 2. The figure below is a rectangle with length 3.5 cm and width 2.5 cm. Find: a) Perimeter Step 1: The formula for the perimeter of a rectangle is P = 2(L + W). P = 2(3.5\, cm + 2.5\, cm) Step 2: Substitute the length and width and calculate. P = 2(6.0\, cm) P = 12.0\, cm The perimeter is 12.0 cm. b) Area Step 1: The formula for the area of a rectangle is A = L × W. A = 3.5\, cm × 2.5\, cm Step 2: Substitute the length and width and calculate. A = 8.75\, cm^2 The area is 8.75 cm^2. Send me the next one 📸