We know that angle AOC is 90 degrees and arc AB is 36 degrees. Arc AB is one-fifth of the total circumference of the circle (since 36 is one-fifth of 180, which is the total measure of a semicircle).
Therefore, the total circumference of the circle is 180 degrees. Since angle AOC is 90 degrees, this means the other half of the circle is divided into another 90 degrees.
Since arc AB is 36 degrees, the remaining arc CAD must be 90 - 36 = 54 degrees.
Therefore, the measure of arc CAD is 54 degrees.
Answer: Not given in the options (should be 54 degrees)
Find the measure of arc CAD.
Circle O, points ABCDE on the circle. Angles DOB and AOC=90 degrees, arc AB=36 degrees
Find the measure of arc CAD.
Circle O, points ABCDE on the circle. Angles DOB and AOC=90 degrees, arc AB=36 degrees
A:216
B:180
C:270
D:90
1 answer