Equation of a Circle — Unit test Answers

Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options.

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

AD and MN are chords that intersect at point B.

Line segments XY and ZY are tangent to circle O.

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.

An arc of length 8 in. is intersected by a central angle in a circle with a radius of 3 in. What is the measure of the angle? Round your answer to the nearest tenth.

What are the values of m and in the diagram below?

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

Circle O has a circumference of 36π cm.

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

Circle G and X connect at point Y. The length of G Y is 10 centimeters and the length of Y X is 16 centimeters.

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.

Line segment ON is perpendicular to line segment ML.

Line segment SU is a diameter of circle V.

Angle BCD is a circumscribed angle of circle A. Angle BAC measures 53°.

Which of the following is true of the location of an angle, , whose tangent value is ?

A Ferris wheel has a diameter of 42 feet. It rotates 3 times per minute. Approximately how far will a passenger travel during a 5-minute ride?

What is 270° converted to radians?

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.