Help me solve it please

Step-by-step explanation:

(1) As definition, the area () of a circle is calculated by:

x with is radius of circle.

(2) The relation between radius () and diameter () of a circle is:

= 2 x

(3) Applying the Pythagorean theorem for a square with sides of length ,

the relation between side and diagonal is:

=> The diagonal () of that square is calculated by:

=

(4) The square fits exactly inside a circle, with each of its vertices being on the circumference of the circle.

Applying the theorem of inscribed angle in a circle, the measure of arc BD is twice as the measure of inscribed angle BAD.

In other words, the measure of arc AC = 2 x 90 = 180 deg, or half of circle.

It means that the diagonal BD is coincide with a diameter of circle.

=>

or x =

or =

Substitute back into original formula used for calculating the area of circle:

=> A = x = x

=> x

=> x = x = 5.97 cm

Hope this helps!

:)

answer: 48

just remember to use pemdas:

parentheses

expressions

multiplication

division

addition

subtraction