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
Let's calculate the perimeter of the wardrobe top. The top of the wardrobe is a sector of a circle. Given: Radius r = 35 cm Angle = 90^ We will use = (22)/(7) for calculation. Step 1: Calculate the length of the arc. The formula for the arc length L of a sector is: L = ()/(360^) × 2 r Substitute the given values: L = (90^)/(360^) × 2 × (22)/(7) × 35 cm L = (1)/(4) × 2 × (22)/(7) × 35 cm L = (1)/(4) × 44 × 5 cm L = 11 × 5 cm L = 55 cm Step 2: Calculate the perimeter of the sector. The perimeter P of a sector is the sum of the arc length and two radii: P = L + 2r Substitute the calculated arc length and the given radius: P = 55 cm + 2 × 35 cm P = 55 cm + 70 cm P = 125 cm The perimeter of the top of the wardrobe is 125 cm. That's 2 down. 3 left today — send the next one.