Tangent, Secant and Chord Circle Theorems

The accompanying diagram shows two intersect paths within a circular garden.

What is the length of the portion of the path marked x?

• 10

• 12

• 14

• 16

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CCSS.HSG.C.A.2

• 70 degrees

• 182 degrees

• 108 degrees

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CCSS.HSG.C.A.2

• 28.67

• 29.67

• 30.67

• 31.67

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• 10

• 11

• 12

• 13

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• 3

• 4

• 5

• 6

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A student believes he can use

 Pythagoren Theorem 

(which applies to right triangles)

 to the triangle ABC.

He believes he can find the missing length of the diameter AB.

Is he correct? (Yes or No)    

• yes

• no

• 4

• 5

• 6

• 7

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CCSS.HSG.C.A.2

• 4

• 7

• 10

• 42

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CCSS.HSG.C.A.2

What is the angle measure of a semi circle?

• 90 degrees

• 180 degrees

• 270 degrees

• 360 degrees

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CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

A chord of a circular clock is 12 in. long, and its midpoint is 8 in. from

the center of the circle.

What theorem(s) can you use to determine the length of the radius

of the circle?

• Pythagorean Theorem. A diameter

  perpendicular to a chord bisects

  the chord.

• Opposite Angles in an inscribed angles adds to 180 degrees.

• Angles in the same segment are equal

• Tangents from a point outside a circle are equal in length.