1. Find the area of the largest circle which can be cut from a square of edge 4 in. What is the area of thematerial wasted?
Answer (2)
Answer:1. Finding the Diameter of the Circle:The largest circle that can fit inside a square has a diameter equal to the side length of the square.Therefore, the diameter of the circle is 4 inches.2. Finding the Radius of the Circle:The radius of a circle is half its diameter.So, the radius of the circle is 4 inches / 2 = 2 inches.3. Finding the Area of the Circle:The area of a circle is calculated using the formula: Area = π * radius² Area = π * (2 inches)² = 4π square inches4. Finding the Area of the Square:The area of a square is calculated using the formula: Area = side²Area = (4 inches)² = 16 square inches5. Finding the Area of Wasted Material:The area of the wasted material is the difference between the area of the square and the area of the circle.Area of wasted material = 16 square inches - 4π square inchesArea of wasted material ≈ 16 square inches - 12.57 square inches ≈ 3.43 square inchesTherefore:The area of the largest circle that can be cut from the square is 4π square inches (approximately 12.57 square inches).The area of the material wasted is approximately 3.43 square inches.
Answer:pick: Fact or BLUFF 1.The common mutiples of 6 and 4 are 12, 24, 36, are 12, 24, & 36
