SOLUTION: The corners of a square lie on a circle of diameter D = 0.43 m. The side of the square has a length L. Find L.

Algebra.Com
Question 493898: The corners of a square lie on a circle of diameter D = 0.43 m. The side of the square has a length L. Find L.
Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
The corners of a square lie on a circle of diameter D = 0.43 m. The side of the square has a length L. Find L.
**
Draw a diagnol from one corner of the square to the opposite corner. This diagnol is equal to the diameter D=0.43 m, and is the hypotenuse of a right triangle with equal legs of L.
By Pythagroean Theorem:
.43^2=L^2+L^2=2L^2
L^2=.43^2/2=.0925
L=√.0925
L=.3041

RELATED QUESTIONS

The mass Kg of a metal bar varies jointly as its length L meters and the square of its... (answered by josmiceli)
The electrical resistance R of a wire varies directly as the length L and inversely as... (answered by Alan3354)
from the point inside a square the distance to three corners are 4,5 and 6 m... (answered by ikleyn)
The area of a circle is 3/4 area of a square. One side of the square has length 2 square (answered by mananth)
Match information on the left side with the appropriate formula. Note: S=side; L=length;... (answered by jim_thompson5910,stanbon)
The electrical resistance r of a wire varies directly with its length l and inversely... (answered by mananth,Edwin McCravy)
A Rectangular piece of cardboard has an area of 150 square centimeters. By cutting a... (answered by josgarithmetic)
the electrical resistance R of a wire varies directly as the length L and inversely as... (answered by Alan3354)
the electrical resistance R of a wire varies directly as the length L and inversely as... (answered by Alan3354)