Y yt1love New member Joined Apr 28, 2010 Messages 5 Apr 28, 2010 #1 points a,b.d are on circle c. if the measure of angle acb=70 and line bd is the diameter,what is the measure of arc adb
points a,b.d are on circle c. if the measure of angle acb=70 and line bd is the diameter,what is the measure of arc adb
B BigGlenntheHeavy Senior Member Joined Mar 8, 2009 Messages 1,577 Apr 28, 2010 #2 \(\displaystyle arc \ adb \ = \ 290^0\)
Y yt1love New member Joined Apr 28, 2010 Messages 5 Apr 28, 2010 #3 BigGlenntheHeavy said: \(\displaystyle arc \ adb \ = \ 290^0\) Click to expand... are you sure
B BigGlenntheHeavy Senior Member Joined Mar 8, 2009 Messages 1,577 Apr 28, 2010 #4 \(\displaystyle The \ degree \ measure \ of \ a \ minor \ are \ (ab) \ is \ the \ measure \ of \ the \ corresponding \ central \ angle\) \(\displaystyle \ (angle \ acb).\) \(\displaystyle angle \ acb \ = \ 70^0 \ = \ arc \ (ab).\) \(\displaystyle The \ degree \ measure \ of \ a \ major \ arc \ (adb) \ is \ equal \ to \ 360 \ minus \ the \ measure \ of \ the\) \(\displaystyle \ corresponding \ minor \ arc \ (ab).\) \(\displaystyle Hence, \ arc \ (adb) \ = \ 360^0- \ arc(ab) \ = \ 290^0.\)
\(\displaystyle The \ degree \ measure \ of \ a \ minor \ are \ (ab) \ is \ the \ measure \ of \ the \ corresponding \ central \ angle\) \(\displaystyle \ (angle \ acb).\) \(\displaystyle angle \ acb \ = \ 70^0 \ = \ arc \ (ab).\) \(\displaystyle The \ degree \ measure \ of \ a \ major \ arc \ (adb) \ is \ equal \ to \ 360 \ minus \ the \ measure \ of \ the\) \(\displaystyle \ corresponding \ minor \ arc \ (ab).\) \(\displaystyle Hence, \ arc \ (adb) \ = \ 360^0- \ arc(ab) \ = \ 290^0.\)