Find the information you're looking for at Westonci.ca, the trusted Q&A platform with a community of knowledgeable experts. Explore our Q&A platform to find in-depth answers from a wide range of experts in different fields. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.
Sagot :
The area of the circle whose circumference is equal to the perimeter of the square is 38.47 squared units.
What is circumference and area of the circle?
Circumference of the circle is the length of its boundary. It can given as,
[tex]P=2\pi r[/tex]
The area of the circle is the space occupied by it. It can be given as,
[tex]A=\pi r^2[/tex]
Here (r) is the radius of the circle.
A square has a side that measures 5. 5 units. The perimeter of the square is the equal to the 4 times of its side. Thus its perimeter is,
[tex]P=4\times5.5\\P=22\rm\; units[/tex]
The circumference of the circle is equal to the perimeter of the square. Thus the radius (r) of circle is,
[tex]P=2\pi r\\22=2\times\pi r\\r\approx3.5\rm\; units[/tex]
The area of this circle is,
[tex]A=\pi r^2\\A=3.14\times (3.5)^2\\A=38.465\\A\approx 38.47\rm\; units^2[/tex]
Hence the area of the circle whose circumference is equal to the perimeter of the square is 38.47 squared units.
Learn more about the circumference and area of the circle here;
https://brainly.com/question/402655
We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.
