Angle Measures of Polygons Answers

What is the radius of a circle whose equation is (x + 5)2 + (y – 3)2 = 42?

A circle is shown. Secants D E and A E intersect at point E outside of the circle. Secant D E intersects the circle at point C and secant A E intersects the circle at point B. The length of D C is 1, the length of C E is x + 4, the length of A B is 11, and the length of B E is x + 1.

A point is on a circle if the distance from the center of the circle to the point is equal to the

AD and MN are chords that intersect at point B.

Line segment KL is tangent to circle J at point K.

Circle D is shown. Angle A C B intercepts arc A B. Arc A B has a measure of 76 degrees.

Circle O is shown. Chords K M and J L intersect at point A. The measure of arc K J is 170 degrees. The measure of arc L M is 80 degrees.

Circle A is shown. Tangents L M and N M intersect at point M outside of the circle. Arc L N is 270 degrees.

Circle D is shown with the measures of the minor arcs.

Circle D is inscribed with triangle A B C. The measure of arc A B is 76 degrees. Point E is on the circle between points B and C.

Line segments XY and ZY are tangent to circle O.

Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options. The radius of the circle is 3 units.The center of the circle lies on the x-axis.The center of the circle lies on the y-axis.The standard form of the equation is (x – 1)² + y² = 3.The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

A circle is shown. Secant A D and tangent E D intersect at point D outside of the circle. Secant A D intersects the circle at point B. The length of A B is a, the length of B D is 10, and the length of D E is 12.

Which equation represents the circle described?The radius is 2 units. The center is the same as the center of a circle whose equation is x2 + y2 – 8x – 6y + 24 = 0.

In circle T, ∠PTQ ≅ ∠RTS.

In circle D, ∠EDH ≅ ∠EDG.

Line segment SU is a diameter of circle V.

Circle T is shown. Angle Q S R intercepts arc Q R. Angle Q S R is 52 degrees.

Circle C is shown. Secants U W and Y W intersect at point W outside of the circle. Secant U W intersect the circle at point V and secant Y W intersects the circle at point X.

Circle A is shown. Secant W Y intersects tangent Z Y at point Y outside of the circle. Secant W Y intersects circle A at point X. Arc X Z is 105 degrees and arc W Z is 175 degrees.