Answered

Jackson has a table with a square top and he wants to buy a circular piece of lace that will cover the entire top of the table. The top of the table has side lengths
of 12 inches, as shown. help?
12 in
12 in
What is the area, in square inches, of the smallest circular piece of lace Jackson could buy? Round your answer to the nearest tenth

Jackson has a table with a square top and he wants to buy a circular piece of lace that will cover the entire top of the table. The top of the table has side le class=

Answer :

Answer:

226.2

Step-by-step explanation:

I took the test. I hope this helps! :)

boffeemadrid

The area of the circular lace is required.

The smallest circular piece of lace to cover the entire top of the table is 226.2 inches².

Area of circle

Length of each side of square = 12 inches

The diameter of the circle will be the length of the diagonal of the square from the given figure.

[tex]d=\sqrt{12^2+12^2}\\\Rightarrow d=12\sqrt{2}\ \text{in}[/tex]

Area of a circle is given by

[tex]A=\pi\dfrac{d^2}{4}\\\Rightarrow A=\pi \dfrac{(12\sqrt{2})^2}{4}\\\Rightarrow A=226.194\approx 226.2\ \text{in}^2[/tex]

Learn more about area of circle:

https://brainly.com/question/12269818

Other Questions