EXAMPLE 1 Find measures of arcs Find the

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EXAMPLE 1 Find measures of arcs Find the measure of each arc of P,

EXAMPLE 1 Find measures of arcs Find the measure of each arc of P, where RT is a diameter. a. RS b. RTS c. RST SOLUTION RPS = 110 o. a. RS is a minor arc, so m. RS = m b. RTS is a major arc, so m. RTS = 360 o – 110 o = 250 o. c. RT is a diameter, so RST is a semicircle, and m. RST = 180 o.

EXAMPLE 2 Find measures of arcs Survey A recent survey asked teenagers if they

EXAMPLE 2 Find measures of arcs Survey A recent survey asked teenagers if they would rather meet a famous musician, athlete, actor, inventor, or other person. The results are shown in the circle graph. Find the indicated arc measures. a. m. AC SOLUTION a. m. AC = m. AB + m. BC = 29 o + 108 o = 137 o

EXAMPLE 2 Find measures of arcs Survey A recent survey asked teenagers if they

EXAMPLE 2 Find measures of arcs Survey A recent survey asked teenagers if they would rather meet a famous musician, athlete, actor, inventor, or other person. The results are shown in the circle graph. Find the indicated arc measures. b. m. ACD SOLUTION b. m. ACD = m. AC + m. CD = 137 o + 83 o = 220 o

EXAMPLE 2 Find measures of arcs Survey A recent survey asked teenagers if they

EXAMPLE 2 Find measures of arcs Survey A recent survey asked teenagers if they would rather meet a famous musician, athlete, actor, inventor, or other person. The results are shown in the circle graph. Find the indicated arc measures. c. m. ADC SOLUTION c. m. ADC = 360 o – m. AC = 360 o – 137 o = 223 o

EXAMPLE 2 Find measures of arcs Survey A recent survey asked teenagers if they

EXAMPLE 2 Find measures of arcs Survey A recent survey asked teenagers if they would rather meet a famous musician, athlete, actor, inventor, or other person. The results are shown in the circle graph. Find the indicated arc measures. d. m. EBD SOLUTION d. m. EBD = 360 o – m. ED = 360 o – 61 o = 299 o

GUIDED PRACTICE for Examples 1 and 2 Identify the given arc as a major

GUIDED PRACTICE for Examples 1 and 2 Identify the given arc as a major arc, minor arc, or semicircle, and find the measure of the arc.

GUIDED PRACTICE for Examples 1 and 2 1. TQ SOLUTION TQ is a minor

GUIDED PRACTICE for Examples 1 and 2 1. TQ SOLUTION TQ is a minor arc, so m TQ = 120 o. 2. QRT SOLUTION QRT is a major arc, so m QRT= 240 o.

GUIDED PRACTICE for Examples 1 and 2 3. TQR SOLUTION TQR is a semicircle,

GUIDED PRACTICE for Examples 1 and 2 3. TQR SOLUTION TQR is a semicircle, so m TQR = 180 o. 4. QS SOLUTION QS is a minor arc, so m QS = 160 o.

GUIDED PRACTICE 5. for Examples 1 and 2 TS SOLUTION TS is a minor

GUIDED PRACTICE 5. for Examples 1 and 2 TS SOLUTION TS is a minor arc, so m TS = 80 o. 6. RST SOLUTION RST is a semicircle, so m RST = 180 o.

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