Angles Segments Circles

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

• 18

• 10

• 17

• 21

Tags

CCSS.HSG.C.A.2

What is the measure of arc PQ?

• 47

• 57

• 67

• 77

Tags

CCSS.HSG.C.A.2

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

Tags

CCSS.HSG.C.B.5

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

Tags

CCSS.HSG.C.B.5

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

Tags

CCSS.HSG.C.B.5

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

Tags

CCSS.HSG.C.B.5

Find CE.

• 12

• 16

• 18

• None of these

Tags

CCSS.HSG.C.A.2

What is the measure of arc NM?

• 116

• 117

• 118

• 119

Tags

CCSS.HSG.C.A.2

What is the measure of arc AD?

• 137

• 136

• 135

• 134

Tags

CCSS.HSG.C.B.5

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

• angle bisector

• perpendicular bisector

• median

• midsegment