∴ Therefore the area of non shaded =[tex]9(\pi -1)[/tex] square units
Step-by-step explanation:
Given , the diameter of the circle is 6 units
radius [tex]= \frac{diameter}{2}[/tex] = 3 units
The height of the triangle = the radius of the circle = 3 units
And the base of the triangle = 6 units
∴the area of the circle = [tex]\pi r^2[/tex] =[tex]\pi 3^2[/tex] square units = [tex]9 \pi[/tex] square units
∴The area of the triangle [tex]=\frac{1}{2} \times base \times height[/tex]
= [tex]\frac {1}{2} \times 6\times 3[/tex] square units
= 9 square units
∴ Therefore the area of non shaded =([tex]9 \pi[/tex]-9) square units
=[tex]9(\pi -1)[/tex] square units
