Area of a Circle and a Sector — Unit test Answers

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

Circle L is shown. Line segments K L and M L are radii. The length of K L is 12. Angle M L K is 60 degrees. Sector M L K with a 60 degree angle is shaded.

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

Line segments XY and ZY are tangent to circle O.

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.

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?

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.

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

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

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.

In circle D, ∠EDH ≅ ∠EDG.

AD and MN are chords that intersect at point B.

BD and AC are chords that intersect at point Y.

Circles C and D overlap. The distance from point C to point D is 7 centimeters.

Circle X and Y are connected at one side. Larger circle C surrounds both circles. Line segment W Z is the diameter of circle C. The line segment goes through all points of the other circles. The length of W X is 8 and the length of Y Z is 10.

is tangent to circle P at point Q.

Two similar circles are shown. The circumference of the larger circle, with radius OB, is 3 times the circumference of the smaller circle, with radius OA.

Circle S is shown. Line segment R T is a diameter. The length of S T is 4. Sector R S T is shaded.

Smaller circle C is inside larger circle C. The smaller circle is labeled the garden. The radius of the smaller circle is 8 feet. The distance from the rim of the inner circle to the rim of the outer circle is 3 feet.

Circle T is shown. Line segments T S, T R, T Q, and T P are radii. Lines are drawn to connect points S and R and points P and Q to form secants. Angles R T S and Q T P are congruent.