Question
Trent lays out a round parachute, measures it, and calculates that it has a circumference of 25.12 meters. What is the parachute's diameter?
Use 3.14 for 𝜋. If necessary, round your answer to the nearest hundredth.
Use 3.14 for 𝜋. If necessary, round your answer to the nearest hundredth.
Answers
GPT 3.5
The formula for the circumference of a circle is C = 2πr, where C is the circumference and r is the radius. Since the equation gives the circumference, we need to solve for the radius first.
C = 2πr
25.12 = 2 * 3.14 * r
Dividing both sides by 2π:
25.12 / (2 * 3.14) = r
Simplifying the expression:
25.12 / 6.28 ≈ 3.99 = r
Since the radius is half of the diameter, the diameter of the parachute is:
2 * r ≈ 2 * 3.99 = 7.98
Rounding to the nearest hundredth, the parachute's diameter is approximately 7.98 meters.
C = 2πr
25.12 = 2 * 3.14 * r
Dividing both sides by 2π:
25.12 / (2 * 3.14) = r
Simplifying the expression:
25.12 / 6.28 ≈ 3.99 = r
Since the radius is half of the diameter, the diameter of the parachute is:
2 * r ≈ 2 * 3.99 = 7.98
Rounding to the nearest hundredth, the parachute's diameter is approximately 7.98 meters.