Area of a Circle and a Sector — Unit test Answers

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

Circle B is shown. Line segments A B and C B are radii. The length of A B is 6. Sector A B C is shaded.

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

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

Consider circle Y with radius 3 m and central angle XYZ measuring 70°.

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

Circle O has a circumference of 36π cm.

In circle T, ∠PTQ ≅ ∠RTS.

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

Circle C is shown. Radius A has a length of r.

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.

Which is true regarding secants and chords?

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

Segments RT and SU are diameters of circle O.

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

Angle D is a circumscribed angle of circle O.

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.

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 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.

Which circle has a radius that measures 10 units?