The area of the square is 9 in^2
The side of a square is the square root of the area.
Side of square = √9 = 3 inches.
The side of the square is the diameter of the inscribed circle.
Circumference of a circle is PI x diameter.
Circumference of inscribed circle = 3.14 x 3 = 9.42 inches
The diameter for the circumscribed circle would be the diagonal of the square which is 3√2 = ( Side length x √2) ≈ 4.2426
The circumference = 3.14 x 3√2 = 13.321
Find the ratio between the two circles:
Circumscribed / inscribed =
13.321 / 9.42 = 1.41
Answer:
The solution for the system of right triangles are, respectively: 
, 
, 
, 
Step-by-step explanation:
By Geometry, we get the following equivalencies:
(45 - 45 - 90 Theorem)
(45 - 45 - 90 Theorem)
(30 - 60 - 90 Theorem)
(30 - 60 - 90 Theorem)
Answer:
Step-by-step explanation:
Of that list, only the square and the rectangle have the property you are asking for.
Try drawing it. The parallelogram has a shorter diagonal from the two obtuse angles than the diagonal from the two acute angles.
The rhombus has the same property as the parallelogram.
The kite has a far longer diagonal from the angle enclosed by the two long sides going to the angle enclosed by the two shorter sides, than a line going from the angle enclosed by one shorter and one longer side to the other angle made the same way.
Answer:
The answer to your question is 10 in
Step-by-step explanation:
Data
Circumference = 20π in
Radius = x
Formula
Circumference = πd
Process
1.- Equal the formula to the circumference
πd = 20π
2.- Solve for d
d = 20π / π
3.- Simplification
d = 20
4.- Find the radius
r = d/2
r = 20/2
r = 10 in
