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CW#34: Find Arc MEASURES Geometry Teacher Notes - KEY CRS Objective PPF 703 – Use relationships among circles, arcs, and distances in circles 13.1: Identify and define angles and arcs related to circles (central angle, minor and major arcs, semi-circles); 13.2 PPF703 Find arc measures New Stuff: *Stress that central angles have the same measure as their arcs! *Naming convention: minor arcs = 2 letters, major arcs = 3 letters, semicircle = 2 or 3 *MEASURE is in all caps because we MEASURE DEGREES of arc (tomorrow we will find LENGTH of arc) Example 1 (in notebooks): DA and EB are diameters of the circle to the left. i. Identify the given arc as a major arc, minor arc, or semicircle ii. Find the arc measure. a. mDC b. mDB c. mCDA STAY READY. d. mCE e. mAD Example 2: Refer to the circle graph. Find each measure. a. mCD b. mFE c. mAC Independent Work: 1) Find the value of x. 2) Find the value of x. 6) STAY READY. 36) 37) DG and CF are diameters of the circle to the left. i. Identify the given arc as a major arc, minor arc, or semicircle ii. Find the arc measure. a. mDE b. mDG c. mEF STAY READY. d. mCG e. mDGC Exit Slip 1) Use the figure below to answer the following questions. 2) Find the value of ‘X’ in the picture below. ‘F’ marks the center of the circle. Fill in the blank: a. is a ________. b. is a ________. c. is a ________. 3) What is a central angle? 4) What is the relationship between a central angle and the measure of its arc? STAY READY. CW#34: Find Arc MEASURES Geometry CLASSROOM COPY – DO NOT WRITE ON THIS! CRS Objective PPF 703 – Use relationships among circles, arcs, and distances in circles 13.1: Identify and define angles and arcs related to circles (central angle, minor and major arcs, semi-circles); 13.2 PPF703 Find arc measures Example 1 (in notebooks): DA and EB are diameters of the circle to the left. iii. Identify the given arc as a major arc, minor arc, or semicircle iv. Find the arc measure. a. mDC b. mDB c. mCDA d. mCE Example 2: Refer to the circle graph. Find each measure. d. mCD e. mFE f. mAC Independent Work: 1) Find the value of x. 2) Find the value of x. STAY READY. e. mAD 6) 36) STAY READY. 37) DG and CF are diameters of the circle to the left. iii. Identify the given arc as a major arc, minor arc, or semicircle iv. Find the arc measure. a. mDE b. mDG c. mEF Exit Slip 1) Use the figure below to answer the following questions. d. mCG 2) Find the value of ‘X’ in the picture below. ‘F’ marks the center of the circle. Fill in the blank: a. is a ________. b. is a ________. c. is a ________. e. mDGC 3) What is a central angle? 4) What is the relationship between a central angle and the measure of its arc? STAY READY.
