Question

Can you please help me out with a question

Answer 1

ANSWER

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

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:

$\begin{gathered} 84.823=2\cdot\pi\cdot r \\ \Rightarrow r=\frac{84.823}{2\cdot\pi} \\ r=13.5\text{ yards} \end{gathered}$

Diameter is twice the radius.

Therefore, the diameter is:

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