Question

radius =
diameter =
area =
circumference =

Explanation:

Step1: Recall radius - diameter relationship

The diameter $d$ of a circle is twice the radius $r$, i.e., $d = 2r$. Given $r=8.92$ yd, then $d = 2\times8.92=17.84$ yd.

Step2: Calculate the area of the circle

The formula for the area $A$ of a circle is $A=\pi r^{2}$. Substitute $r = 8.92$ yd into the formula: $A=\pi\times(8.92)^{2}=\pi\times79.5664\approx3.14\times79.5664 = 249.838496\approx249.84$ yd².

Step3: Calculate the circumference of the circle

The formula for the circumference $C$ of a circle is $C = 2\pi r$. Substitute $r=8.92$ yd into the formula: $C=2\times\pi\times8.92\approx2\times3.14\times8.92= 56.0416\approx56.04$ yd.

Answer:

Radius = 8.92 yd
Diameter = 17.84 yd
Area $\approx$ 249.84 yd²
Circumference $\approx$ 56.04 yd