Answer:
![2r(\sqrt{3}+1)](https://tex.z-dn.net/?f=2r%28%5Csqrt%7B3%7D%2B1%29)
Step-by-step explanation:
A rectangle is inscribed in a circle of radius r.
Radius of the circle is 'r' . the diameter of circle is 2 times radius is 2r
The diameter of the circle becomes the diagonal of the rectangle.
The one part of the rectangle forms a triangle with hypotenuse 2r
Triangle is a special 30:60:90 degree angle
the ratio of the special triangle is ![1: \sqrt{3} :2](https://tex.z-dn.net/?f=1%3A%20%5Csqrt%7B3%7D%20%3A2)
Hypotenuse is '2r' , so the ratio becomes
![r: \sqrt{3}r :2r](https://tex.z-dn.net/?f=r%3A%20%5Csqrt%7B3%7Dr%20%3A2r)
So the width of the rectangle is 'r' and length of the rectangle is ![\sqrt{3}r](https://tex.z-dn.net/?f=%5Csqrt%7B3%7Dr)
Perimeter = 2 times length + 2 times width
![perimeter = 2\sqrt{3} r+2r=2r(\sqrt{3}+1)](https://tex.z-dn.net/?f=perimeter%20%3D%202%5Csqrt%7B3%7D%20r%2B2r%3D2r%28%5Csqrt%7B3%7D%2B1%29)
Answer:
206 square units
Step-by-step explanation:
16.2 / 2 = 8.1
8.1 ^ 2 = 65.61
65.61 x pi = 206.119894
Round that to the nearest square unit and you will find that the circle's area is about 206 square units.
Answer:
Step-by-step explanation:
1/2+5/8=4/8+5/8=9/8
2/3+1/4=8/12+3/12=11/12
Answer:
Step-by-step explanation:
each number equals a letter at the 2 numbers from each line and it will give you the letter based off of the letter - number coder
Answer:bet
Step-by-step explanation: I would but I’m not smart enough