The ratio of the area of a square inscribed in a semicircle to the area of a square inscribed in a circle is 2/5.
What is a semicircle?
A semicircle in mathematics is a one-dimensional locus of points that makes up one-half of a circle. A semicircle's entire arc always measures 180 degrees. There is only one symmetry line in it.
For instance, if the radius is known, we can use the formula, which states that the area of a semicircle is equal to half that of a circle. As a circle's area is r2, Therefore, a semicircle's area is equal to 1/2(r2), where r is its radius. 3.14, or 22/7, is the value of.
Solution Explained:
Let's assume and take
The dimensions of the little square ABCD = 2 x 2 =4
of the little triangle's hypotenuse Radius of the semi-circle for BCG
H=sqrt(5) = The semicircle's radius
IHJK = 2sqrt is the diagonal of the huge square (5)
One side of the large square is IHJK when sin(45) x 2sqrt(5) = sqrt(10).
Therefore, the area of ABCD/area of IHJK is equal to 4/sqrt(10)2 = 2/5.
To learn more about a semicircle, use the link given
https://brainly.com/question/26486679
#SPJ4
