Respuesta :
Hello!
The answer is:
The difference between the areas of the circles will be:
[tex]Difference=36\pi -9\pi =27\pi[/tex]
Why?
To find the diffence in area between the two circles, we need to find both areas and then, subtract the smallest circle area to the largest circle area.
So,
For the small circle, we have:
[tex]Area_{SmallCircle}=\pi *radius^{2} \\\\Area_{SmallCircle}=\pi *(3)^{2}=9\pi[/tex]
For the large circle, we have:
[tex]Area_{LargeCircle}=\pi *radius^{2} \\\\Area_{LargeCircle}=\pi *(6)^{2}=36\pi[/tex]
Hence, we have that the difference between the areas of the circles will be:
[tex]Difference=36\pi -9\pi =27\pi[/tex]
Have a nice day!
Answer:
Difference = 27π square units
Step-by-step explanation:
Points to remember
Area of circle = πr²
Where r - Radius of circle
To find the area of large circle
Here r = 6 units
Area = πr² = π * 6²
= 36π square units
To find the area of small circle
Here r = 3 units
Area = πr² = π * 3²
= 9π square units
To find the difference
Difference = area of large circle - area of small circle
= 36π - 9π = 27π square units