Here are the answers to the questions based on the information provided:
Question 1: Which of the following uses the correct formula to find the approximate circumference of a circle that has a radius of 450?
- Response: C ≈ 2⋅3.14⋅450
This is the correct formula for circumference (C = 2πr) where r is the radius.
Question 2: Which formula correctly describes the proportional relationship between the circumference of a circle and the diameter?
- Response: C = πd
This is the correct formula for explaining the relationship between circumference (C) and diameter (d).
Question 3: Use the correct formula to find the area of a circle if the diameter is 21 mi. Round to the nearest hundredths place. Use 3.14 for π.
- First, find the radius. The radius r = diameter / 2 = 21 / 2 = 10.5 mi.
- Use the formula for the area of a circle: A = πr² = 3.14 * (10.5)²
- A = 3.14 * 110.25 = 346.19 mi².
- Response: 346.19 mi²
Question 4: Which of the following is the correct formula for finding the area of a circle?
- Response: A = πr²
This is the correct formula for the area of a circle.
All the responses are now aligned with the questions and provide the correct answers.