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 …

Question

asked Jan 27, 2021 132k views

2 Answers

The Bearded Llama · Answer 1 · 2021-02-02T23:01:37+0000

Answer:

19.6 cm²

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:

$A= \pi (d^2)/(4)$

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

$A= 3.14 *(5^2)/(4) \\A=19.6\ cm^2$

The approximate area of the circle is 19.6 cm².