5-Minute Check 4

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# 5-Minute Check 4 - PowerPoint PPT Presentation

A B C D. Refer to the figure. Find BC. 3. 5-Minute Check 4. A B C D. Refer to the figure. Find DE. 13. 5-Minute Check 5. A B C D. Find the length of the radius of the circle. 6.5 in. 5-Minute Check 6.

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Presentation Transcript
A

B

C

D

Refer to the figure. Find BC.

3

5-Minute Check 4
A

B

C

D

Refer to the figure. Find DE.

13

5-Minute Check 5
A

B

C

D

Find the length of the radius of the circle.

6.5 in.

5-Minute Check 6

Identify central angles, major arcs, minor arcs, and semicircles, and find their measures.

• Find arc lengths.
Then/Now
• arc—a portion of a circle defined by two endpoints on the circle. An arc has the same measure of the central angle formed by its endpoints.
Vocabulary

The sum of the measures of

Find Measures of Central Angles

Substitution

Simplify.

Divide each side by 26.

Example 1
A

B

C

D

Find the value of x.

9

Example 1

Classify Arcs and Find Arc Measures

Example 2

Classify Arcs and Find Arc Measures

Example 2

Classify Arcs and Find Arc Measures

Example 2

Find Arc Measures in Circle Graphs

mLPK = 0.21(360) Find 21% of 360.

= 75.6 Simplify.

Example 3

Find Arc Measures in Circle Graphs

Sum of arc in circle is 360.

Substitution

Simplify.

Simplify.

Example 3
A

B

C

D

140.4

Example 3
A

B

C

D

273.6

Example 3

.

Use Arc Addition to Find Measures of Arcs

Example 4

Use Arc Addition to Find Measures of Arcs

= mLH + mHI

Substitution

= 58 + 32

= 90

Example 4

Use Arc Addition to Find Measures of Arcs

= mIJ + mJK

Substitution

= 90 + 58

= 148

Example 4

arc length—the distance between the endpoints along an arc measured in linear units. Since an arc is a portion of a circle, its length is a fraction of the circumference.

cm

Use a calculator.

Find Arc Length

Arc Length Equation

Substitution

Example 5

Find Arc Length

Arc Length Equation

Substitution

Use a calculator.

Example 5

Find Arc Length

Arc Length Equation

Substitution

Use a calculator.

Example 5
A

B

C

D

3.77 cm

Example 5
A

B

C

D

38.61 cm

Example 5
A

B

C

D

32.99 cm

Example 5