The approximate circumference of a circle is 7,459 miles. What is the radius rounded to the nearest hundredths place? Use 3.14 for PI and express your answer to the tenths place. Use the formula sheet provided.(1 point)

Responses

2,375.5 miles
2,375.5 miles

1,187.7 miles
1,187.7 miles

3,729.5 miles
3,729.5 miles

1,243.2 miles

can you explain how to get the answer/

1 answer

To find the radius of a circle when given the circumference, you can use the formula:

Circumference = 2 * π * radius

Given that the circumference is approximately 7,459 miles and π is 3.14, plug in the values and solve for the radius:

7,459 = 2 * 3.14 * radius
7,459 = 6.28 * radius
radius = 7,459 / 6.28
radius ≈ 1,187.73885

Rounded to the nearest hundredth place, the radius is approximately 1,187.7 miles. Therefore, the correct answer is:

1,187.7 miles