Question

TWO squares
are Inscribed in a
semi circle as shown. If the
as shown. If the area of
the circle smaller sallare is 25 sq.
units what is the area of the larger
Square
.
​

Answer 1

Answer:

Both squares sit on the diameter of the semicircle

2) The smaller square touches the arc of the semicircle at one point

3) that the larger square touches the arch of the semicircle at two points and the smaller square touches the perimeter at one point.

R= radius of semicircle

L=length of the larger square

R^2=(10+L/2)^2+10^2 line from circle center to point where small square touches circle

R^2=(L/2)^2 + L^2 line from circle center to point where large square touches circle

Two equations two unknowns -