Circle Applications 8

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

If the radius of this orange is 16mm, what is the area of one section? (Hint: There are 10 congruent sections of the orange.)

• 71mm²
• 80.4mm²
• 31.5mm²
• 31.4cm²

The distance halfway across the circle is called the...

• radius
• diameter
• circumference
• area

Tags

CCSS.HSG.C.A.2

The distance from the center of the circle to any point on the circle is called the...

• radius
• diameter
• circumference
• area

Tags

CCSS.HSG.C.A.2

CCSS.HSG.CO.A.1

The distance all the way around the circle is called the...

• radius
• diameter
• circumference
• area

Tags

CCSS.HSG.GMD.A.1

If you multiply π × d then you will get the...

• radius
• diameter
• circumference
• area

Tags

CCSS.7.G.B.4

If you multiply 2 × r  then you will get the...

• radius
• diameter
• circumference
• area

Tags

CCSS.7.G.B.4

A circles circumference is 144 ft. Which equation can help you determine the diameter? 

• 144 = dπ
• 144/π = d
• 144/2π = d
• 144π=d

Tags

CCSS.7.G.B.4

Shiatsu is a Japanese massage technique. One of the beliefs is that various body functions are most active at various times during the day. To illustrate this, they use a Chinese clock that is based on a circle divided into 12 equal sections by radii. What is the measure of any one of the 12 equal central angles?

• 30 degrees

• 12 degrees

• 60 degrees

• not enough information

Gabriel has made an apple pie for π-day. He divides it into three pieces along the radii. The central angles measure 2x, 4x and 2x + 40. What is the value of x?

• x = 40

• x = 20

• x = 120

• x = 160

• x = 120