Answer:
78.5 square feet of grass carpet will they need to buy to cover the circle.
Explanation:
Given
Diameter of a circle = 10 feet.
To find:
The grass carpet area need to cover the circular part.
Solution:
For circular part area is given as
![\textrm{area of circle} = \pi * r^(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/k2k9q0w11ersoxkjwe9zwffwo3kgvzmalq.png)
where r is the radius of the circle
d be the diameter of circle.
Also we know the radius is equal to half of the diameter.
∴
![r = (d)/(2) \\r = (10)/(2)\\r = 5\ feet](https://img.qammunity.org/2020/formulas/mathematics/middle-school/8rac8exsgok27q7uk0epr1d23p83k3ar48.png)
substituting the value of r i.e radius in the above formula we get
![\textrm{area of circle} = \pi * 5^(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/tv5v3qkbajy8hauibmc3l215f7m49skilt.png)
![= 3.14* 25\\= 78.5\ square\ feet](https://img.qammunity.org/2020/formulas/mathematics/middle-school/votxxp9niuvu65a324zzmw88oxhyz42hf7.png)
Therefore,78.5 square feet of grass carpet will they need to buy to cover the circle.