Answer: 6 sq. units
Step-by-step explanation:
The formula to find the circumference of a circle is given by :-
[tex]C=2\pi r[/tex], where r is the radius of the circle.
Given : Circumference = 10 units
Then , [tex]10=2\pi r[/tex]
[tex]\\\\\Rightarrow\ r=\dfrac{10}{2\pi}\approx1.59[/tex]
The area of a circle is given by :-
[tex]A=\pi r^2=\pi(1.59)^2=7.9422603875\approx7.94\text{ sq. units}[/tex]
Now, the 75 % of the area is given by :-
[tex]0.75\times7.94=5.955\approx6\text{ sq. units}[/tex]
Hence, 75% of the area of a circle with a circumference of 10 units = 6 sq. units
