A circle inside of a square. The circle touches all sides of the square. The base is 5 centimeters.

What is the approximate area of the circle that fits perfectly inside of the square? Use Pi = 3.14 and round to the nearest tenth.


cm2

Respuesta :

Answer:

19.6 cm²

Step-by-step explanation:

If a circle fits perfectly inside of a square, then its diameter is equal to the length of sides of the square.

The area of a circle is given by:

[tex]A= \pi \frac{d^2}{4}[/tex]

In this problem, d = 5 cm, the area of the circle is:

[tex]A= 3.14 *\frac{5^2}{4} \\A=19.6\ cm^2[/tex]

The approximate area of the circle is 19.6 cm².

Answer:19.6

Step-by-step explanation: