Question

the radius of the small circle is 0.5 millimeters the area of the large circle is 28.26 squared millimeters calculate the area of the state of region​

Answer 1

There is a typo in the question. Where it reads 'state of' should read 'shaded'

Answer:

$A=27.47\ mm^2$

Step-by-step explanation:

Area of a Circle

Given a circle of radius r, its area can be calculated as follows:

$A=\pi r^2$

The area of the shaded region can be found by subtracting the area of the large circle minus the area of the small circle.

We already know the area of the large circle:

$A_l=28.26\ mm^2$

Now we calculate the area of the small circle of radius r=0.5 mm:

$A_s=\pi\cdot 0.5^2$

Calculating:

$A_s=0.79\ mm^2$

The area of the shaded region is:

$A=A_l-A_s=28.26\ mm^2-0.79\ mm^2$

$\mathbf{A=27.47\ mm^2}$