Angles Segments Circles

Find the measure of KM. Assume that lines which appear to be tangent are tangent.

• 18

• 10

• 17

• 21

What is the measure of arc PQ?

• 47

• 57

• 67

• 77

Alison is jogging on a circular track that has a radius of 140 feet.  She runs along the track from point R to point N, a distance of 230 feet. Find to the nearest degree, the measure of minor arc RN.

• 47

• 74

• 94

• 123

Find the area of the dark blue sector shown at the left.  The radius of the circle is 4 units and the length of the arc (the curved edge of the sector) measures 7.85 units.  Express answer to thenearest tenth of a square unit.

• 0.3 square units

• 15.7 square units

• 19.7 square units

• 50.3 square units

In a​ circle, a 90° sector has area 64π in². What is the radius of the​ circle?

• 16 in

• 32 in

• 64 in

• 128 in

When she is outdoors, Tasha, the dog, is tied to a stake in the center of a circular area of radius 24 feet. The angle between her dog house and her favorite hydrant is 165 degrees.  What is the length of the arc from her dog house to the hydrant, following minor arc DG, to the nearest foot.

• 40

• 35

• 55

• 69

Find CE.

• 12

• 16

• 18

• None of these

What is the measure of arc NM?

• 116

• 117

• 118

• 119

What is the measure of arc AD?

• 137

• 136

• 135

• 134

The figure is an example of a(n) ...

• angle bisector

• perpendicular bisector

• median

• midsegment