What is the circumference of the circle whose equation is (x − 9)2 + (y − 3)2 = 64? 8π 4π 64π 16π

16pi units

Step-by-step explanation:

Please use " ^ " to indicate exponentiation:  (x − 9)^2 + (y − 3)^2 = 8^2.

Here we see immediately that the square of the radius is 64, so that the radius itself is 8.

The formula for the circumference of a circle is C = 2*pi*r.  With r = 8, the circumference here is C = 2*pi*8 = 16 pi units.

y=1/4x-4

step-by-step explanation:

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.