Question
The circumference of a circle is 12.56 inches. What is the circle's diameter?
Use 𝜋 ≈ 3.14 and round your answer to the nearest hundredth.
Use 𝜋 ≈ 3.14 and round your answer to the nearest hundredth.
Answers
Answered by
GPT 3.5
The formula for the circumference of a circle is given by C = 2𝜋r, where C is the circumference and r is the radius of the circle.
Since we are given the circumference as 12.56 inches, we can write the equation as 12.56 = 2(3.14)r.
Simplifying the equation, we have 12.56 = 6.28r.
Dividing both sides of the equation by 6.28, we get r = 12.56/6.28 ≈ 2.
The diameter of a circle is twice the radius, so the diameter is 2 * 2 = 4 inches.
Therefore, the circle's diameter is approximately 4 inches.
Since we are given the circumference as 12.56 inches, we can write the equation as 12.56 = 2(3.14)r.
Simplifying the equation, we have 12.56 = 6.28r.
Dividing both sides of the equation by 6.28, we get r = 12.56/6.28 ≈ 2.
The diameter of a circle is twice the radius, so the diameter is 2 * 2 = 4 inches.
Therefore, the circle's diameter is approximately 4 inches.