Answer:
[tex]7.065 \: sq.yards[/tex]
step-by-step explanation:
The area of a circle with a diameter 3 yards is;
First, the area of a circle is given by
[tex]\pi {r}^{2} [/tex]
where r is the radius of the circle
[tex]diameter = 2 \times radius[/tex]
[tex] \implies r = \frac{d}{2} = \frac{3}{2} = 1.5 \: yards[/tex]
using
[tex]\pi = 3.14[/tex]
By substitution,
The area of the circle
[tex] = 3.14 \times {(1.5)} ^{2} [/tex]
we simplify to obtain
[tex] = 3.14 \times 2.25[/tex]
[tex] = 7.065 \: sq.yards[/tex]
