Central Angles 9.2a.

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Presentation transcript:

Central Angles 9.2a

Warm Up 1. What percent of 60 is 18? 2. What number is 44% of 6? 3. Find mWVX.

A central angle is an angle whose vertex is the center of a circle. An arc is an unbroken part of a circle consisting of two points called the endpoints and all the points on the circle between them.

Writing Math Minor arcs may be named by two points. Major arcs and semicircles must be named by three points.

The circle graph shows the types of grass planted in the yards of one neighborhood. Find mKLF.

Use the graph to find each of the following. a. mFMC b. mAHB c. mEMD

Adjacent arcs are arcs of the same circle that intersect at exactly one point. RS and ST are adjacent arcs.

Find mBD.

Find each measure. mJKL

Find each measure. mLJN

Within a circle or congruent circles, congruent arcs are two arcs that have the same measure. In the figure ST  UV.

TV  WS. Find mWS.

C  J, and mGCD  mNJM. Find NM.

PT bisects RPS. Find RT.

Find each measure. A  B, and CD  EF. Find mCD.

Lesson Quiz: Part I 1. The circle graph shows the types of cuisine available in a city. Find mTRQ.

Lesson Quiz: Part II Find each measure. 2. NGH 3. HL

Lesson Quiz: Part III 4. T  U, and AC = 47.2. Find PL to the nearest tenth.