Question

Can you please help me out with a question

Answer 1

`\begin{gathered} \text{Radius}=13.5\text{ yards} \\ \text{Diameter=27 yards} \end{gathered}`

Step-by-step explanation

We want to find the radius and diameter of a circle given that its circumference is 84.823 yards.

The circumference of a circle is given as:

`C=2\pi r`

where r = radius

Therefore, the radius is:

`\begin{gathered} 84.823=2\cdot\pi\cdot r \\ \Rightarrow r=(84.823)/(2\cdot\pi) \\ r=13.5\text{ yards} \end{gathered}`

Diameter is twice the radius.

Therefore, the diameter is:

`\begin{gathered} D=2\cdot r \\ D=2\cdot13.5 \\ D=27\text{ yards} \end{gathered}`