Find the length of the radius of the circle.

A) 2 inches
B) 3 inches
C) 6 inches
D) 8.5 inches
E) 9 inches

C. 6 inches

Step-by-step explanation:

It is a 45, 45, 90 triangle because there is a 90 degree angle and since both of the legs are equal it is an isosceles triangle so the two angles are equal, so they can both only be 45 because together they have to equal 90.

That means the two radii are x and the hypotenuse is x√2   so √72 = x√2

√72 = x√2

now you divide both sides by √2 so that the x is alone

√72/√2 = x                you have to multiply the √72/√2  by √2   because the denominator can not be a radical, You dont have to do it to the x because you are multiply both the numerator and denominator by√2 so it is like 1

√72/√2  *  √2/√2

√144/√4            the √144 is 12 and the √4 is 2

12/2            now simplify

6