Circles (Chords, Arcs, Quadrilaterals)

Find the radius of the circle.
round to the nearest tenth

If $$\overline{RT}=7cm$$ and $$\overline{ZV}=9cm$$ , find $$\overline{RW}$$

Find the measure, in degrees, of arc KJ.

(do NOT include the degree symbol)

Write the equation of a circle whose diameter has endpoints given by $$\left(-4,1\right)$$ and $$\left(-4,9\right)$$ .

(hint: find center (h,k) first)

Prove that $$\overline{GO}\cong\overline{GT}$$ .

STATEMENTS → REASONS

1. ​ $$\overline{OA}\cong\overline{AT}$$ → ​ (a)  

2. $$\overline{AG}\cong\overline{AG}$$ ​ →​ (b)  

3. $$m\angle AOG=m\angle ATG=90\degree$$ →​ (c)  

4. ​ ​ (d)   →Hypotenuse Leg

5. $$\overline{GO}\cong\overline{GT}$$ →​ (e)  

Find the measure of angle G.
(don't include degrees.)

Determine if the point $$\left(-3,5\right)$$ is inside, on, or outside the circle given by $$\left(x+6\right)^2+\left(y-9\right)^2=36$$

Quadrilateral ABCD is inscribed in circle O.
What is the measure, in degrees, of $$\angle CDA$$ ?

Quadrilateral ABCD is inscribed in circle O.
What is the value of y?

Quadrilateral ABCD is inscribed in circle O.
Which equation must be true?