Answer:
Step-by-step explanation:
In order to find the area of the circle we must first find it's radius using the circumference
Circumference of a circle = 2πr
where
r is the radius
From the question
Circumference = 100 yd
So we have
100 = 2πr
Divide both sides by 2π
We have
[tex]r = \frac{100}{2\pi} \\ = \frac{50}{\pi} \\ = 15.91549[/tex]
We have
radius = 15.9 yd
Since we've found the radius we can use it to find the area
Area of circle = πr²
Area = (15.9)²π
Area = 252.81
= 794.226
We have the final answer as
Area = 794.23 yd² to 2 decimal places
Hope this helps you