Question

A circle has a circumference of 25 feet, what is the diameter? Your answer

Answer 1

The diameter of the circle is approximately 7.96 feet.

Step-by-step explanation:

The circumference of a circle is given by the formula C = 2πr, where C is the circumference and r is the radius. Since the problem states that the circumference of the circle is 25 feet, we can set up the equation 25 = 2πr and solve for r. Dividing both sides of the equation by 2π gives us r = 25 / (2π).

The diameter of a circle is twice the radius, so the formula for finding the diameter is d = 2r. Plugging in the value of r we found earlier, the diameter of the circle is d = 2 × (25 / (2π)) = 25 / π feet. To get an approximate numerical value, we can use the approximation of π as 3.14. Therefore, the diameter of the circle is approximately 25 / 3.14 feet, which is about 7.96 feet.

Answer 2

Given :

The circumference of the circle = 25 feet

π = 3.14

The circumference of the circle =

`2\pi\cdot r=\pi\cdot d`

Where r is the radius and d is the diameter

so,

`\begin{gathered} \pi\cdot d=25 \\ \\ d=(25)/(\pi)=(25)/(3.14)\approx7.96 \end{gathered}`

if we rounded to the nearest feet, the diameter = 8 feet