Answer:
55.68 square units
Explanation:
To fond the area of a circle of diameter 8.42, we are using the area formula for a circle:
![A=(1)/(4) \pi d^(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/909g9a33idxzle0nt7amndnemiro9ayecc.png)
where
is the area of the circle
is the diameter of the circle
We know from our problem that the diameter of our circle is 8.42, so
. Replacing the values in our formula:
![A=(1)/(4) \pi d^(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/909g9a33idxzle0nt7amndnemiro9ayecc.png)
![A=(1)/(4) \pi (8.42)^(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/t0wopte94nivvxszzs3sf1dzje53ks1jlf.png)
square units
We can conclude that the area of a circle of diameter of 8.42 units is 55.68 square units.