Square and Circle

Geometry Level 3

Square A B C D ABCD is drawn such that A A and B B are on the circumference of a circle and side D C DC is tangent to that circle. If the radius of this circle is 1, what is the side length of this square ?. If the answer is in the form of a b \frac{a}{b} express your answer as a + b a+b .


The answer is 13.

Arsan Safeen by Arsan Safeen , 23, Iraq

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2 solutions

Marta Reece
Jul 2, 2017

1 = ( a 2 ) 2 + ( a − 1 ) 2 1=\left(\frac a2\right)^2+(a-1)^2

Solution: a = 8 5 a=\frac85

Answer: 8 + 5 = 13 8+5=\boxed{13}

3 Helpful 0 Interesting 0 Brilliant 0 Confused

Same way man!

Noel Lo - 3 years, 11 months ago
Ahmad Saad
Jul 2, 2017

2 Helpful 0 Interesting 0 Brilliant 0 Confused

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