Area of a Circle and a Sector — Unit test Answers

An arc on a circle measures 125°. The measure of the central angle, in radians, is within which range?

The area of circle Z is 64 ft2.

Circle L is shown. Line segments K L and M L are radii. The length of K L is 9. Angle M L K is 120 degrees. Sector M L K with a 120 degree angle is shaded.

In circle N, KL ≅ ML.

In circle T, ∠PTQ ≅ ∠RTS.

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.

Circle O has a circumference of 36π cm.

In circle P, diameter QS measures 20 centimeters.

Angles PTQ and STR are vertical angles and congruent.

Which statements about the figure are true? Select two options.

Circle K is shown. Tangents S T and U T intersect at point T outside of the circle. A line is drawn from point T to point R on the opposite side of the circle. It goes through center point K. Lines are drawn from points S and U to center point K.

Circle V is shown. Line segment T V is a radius with length 14 feet.

SU and VT are chords that intersect at point R.

Which statements are true about circle Q? Select three options.

In circle A, ∠BAE ≅ ∠DAE.

Circle C is inscribed in triangle JEG.

Line segment SU is a diameter of circle V.

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

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.

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