SOLUTION: . Consider the circle below and all of its markings and then answer the following questions. Picture: https://api.agilixbuzz.com/Resz/~zd4LEAAAAAg4u5FxK0Oc9A.Ui-JcdQ5doGziSB5

Algebra ->  Circles -> SOLUTION: . Consider the circle below and all of its markings and then answer the following questions. Picture: https://api.agilixbuzz.com/Resz/~zd4LEAAAAAg4u5FxK0Oc9A.Ui-JcdQ5doGziSB5      Log On


   

Question 1119132: .
Consider the circle below and all of its markings and then answer the following questions.
Picture:
https://api.agilixbuzz.com/Resz/~zd4LEAAAAAg4u5FxK0Oc9A.Ui-JcdQ5doGziSB5MhvysC/48780465,5F3,0,0/Assets/Media/Images/43.4-HOT2-Circle.jpg
a. What is the area and circumference of circle P? Explain how you calculated this answer.
b. If the arc measure of arc COD is 100 degrees and the arc measure of arc BSA is 60 degrees, what is the angle measure of angle CRB? Explain how you calculated this answer.
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


(a) AC and BD are chords intersecting at R; the product of AR and CR is equal to the product of BR and DR. So DR is 6; that makes the diameter BD 9, so the radius is 4.5. Then the area is pi%28r%5E2%29+=+20.25pi and the circumference is 2pi%28r%29+=+9pi.

(b) The measure of angle CRD would be the average of the two arcs 60 and 100 degrees, or 80 degrees. Angle CRB is supplementary to angle CRD, so its measure would be 100 degrees.