EXAMPLE 1 Find measures of arcs RS a. RTS b. RST c. SOLUTION RS is a minor arc, so mRS = m RPS = 110...
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Transcript of EXAMPLE 1 Find measures of arcs RS a. RTS b. RST c. SOLUTION RS is a minor arc, so mRS = m RPS = 110...
![Page 1: EXAMPLE 1 Find measures of arcs RS a. RTS b. RST c. SOLUTION RS is a minor arc, so mRS = m RPS = 110 o. a. RTS is a major arc, so mRTS = 360 o 110 o =](https://reader036.fdocuments.net/reader036/viewer/2022082601/5a4d1b677f8b9ab0599b0dd5/html5/thumbnails/1.jpg)
EXAMPLE 1 Find measures of arcs
RSa. RTSb. RSTc.
SOLUTION
RS is a minor arc, so mRS = m RPS = 110o.a.
RTS is a major arc, so mRTS = 360o 110o = 250o.b. –
Find the measure of each arc of P, where RT is a diameter.
c. RT is a diameter, so RST is a semicircle, and mRST = 180o.
![Page 2: EXAMPLE 1 Find measures of arcs RS a. RTS b. RST c. SOLUTION RS is a minor arc, so mRS = m RPS = 110 o. a. RTS is a major arc, so mRTS = 360 o 110 o =](https://reader036.fdocuments.net/reader036/viewer/2022082601/5a4d1b677f8b9ab0599b0dd5/html5/thumbnails/2.jpg)
EXAMPLE 2 Find measures of arcs
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.
Survey
a. mAC
SOLUTION
a. mAC mAB= + mBC= 29o + 108o
= 137o
![Page 3: EXAMPLE 1 Find measures of arcs RS a. RTS b. RST c. SOLUTION RS is a minor arc, so mRS = m RPS = 110 o. a. RTS is a major arc, so mRTS = 360 o 110 o =](https://reader036.fdocuments.net/reader036/viewer/2022082601/5a4d1b677f8b9ab0599b0dd5/html5/thumbnails/3.jpg)
EXAMPLE 2 Find measures of arcs
b. mACD = mAC + mCD= 137o + 83o
= 220o
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.
Survey
SOLUTION
b. mACD
![Page 4: EXAMPLE 1 Find measures of arcs RS a. RTS b. RST c. SOLUTION RS is a minor arc, so mRS = m RPS = 110 o. a. RTS is a major arc, so mRTS = 360 o 110 o =](https://reader036.fdocuments.net/reader036/viewer/2022082601/5a4d1b677f8b9ab0599b0dd5/html5/thumbnails/4.jpg)
EXAMPLE 2 Find measures of arcs
mADC mAC= 360o – c.
= 360o – 137o
= 223o
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.
Survey
SOLUTION
c. mADC
![Page 5: EXAMPLE 1 Find measures of arcs RS a. RTS b. RST c. SOLUTION RS is a minor arc, so mRS = m RPS = 110 o. a. RTS is a major arc, so mRTS = 360 o 110 o =](https://reader036.fdocuments.net/reader036/viewer/2022082601/5a4d1b677f8b9ab0599b0dd5/html5/thumbnails/5.jpg)
EXAMPLE 2 Find measures of arcs
d. mEBD = 360o – mED
= 360o – 61o
= 299o
d. mEBD
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.
Survey
SOLUTION
![Page 6: EXAMPLE 1 Find measures of arcs RS a. RTS b. RST c. SOLUTION RS is a minor arc, so mRS = m RPS = 110 o. a. RTS is a major arc, so mRTS = 360 o 110 o =](https://reader036.fdocuments.net/reader036/viewer/2022082601/5a4d1b677f8b9ab0599b0dd5/html5/thumbnails/6.jpg)
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.
![Page 7: EXAMPLE 1 Find measures of arcs RS a. RTS b. RST c. SOLUTION RS is a minor arc, so mRS = m RPS = 110 o. a. RTS is a major arc, so mRTS = 360 o 110 o =](https://reader036.fdocuments.net/reader036/viewer/2022082601/5a4d1b677f8b9ab0599b0dd5/html5/thumbnails/7.jpg)
TQ is a minor arc, so m TQ = 120o.
GUIDED PRACTICE for Examples 1 and 2
1. TQ
SOLUTION
. QRT2
SOLUTION
QRT is a major arc, so m QRT= 240o.
![Page 8: EXAMPLE 1 Find measures of arcs RS a. RTS b. RST c. SOLUTION RS is a minor arc, so mRS = m RPS = 110 o. a. RTS is a major arc, so mRTS = 360 o 110 o =](https://reader036.fdocuments.net/reader036/viewer/2022082601/5a4d1b677f8b9ab0599b0dd5/html5/thumbnails/8.jpg)
GUIDED PRACTICE for Examples 1 and 2
. TQR3
SOLUTION
TQR is a semicircle, so m TQR = 180o.
. QS4
SOLUTION
QS is a minor arc, so m QS = 160o.
![Page 9: EXAMPLE 1 Find measures of arcs RS a. RTS b. RST c. SOLUTION RS is a minor arc, so mRS = m RPS = 110 o. a. RTS is a major arc, so mRTS = 360 o 110 o =](https://reader036.fdocuments.net/reader036/viewer/2022082601/5a4d1b677f8b9ab0599b0dd5/html5/thumbnails/9.jpg)
GUIDED PRACTICE for Examples 1 and 2
. TS5
SOLUTION
TS is a minor arc, so m TS = 80o.
. RST6
SOLUTION
RST is a semicircle, so m RST = 180o.