Question

Help Please!

As shown in the diagram, points A. B and C are on the circumference of a circle with center "O" which is also on the line AB. The radius of the circle is 2.5". Line segment CB measures 4" and ∠COB measures 106o. What is the area of the ΔABC?

Answer 1

center "O" which is also on the line AB.
A line through the center of a circle is a diameter.
A triangle with one leg being the diameter and the other two legs touch on the circle is a right angle. The 90 angle is opposite the diameter.
you know the length of the diameter (don't you?)
you know the length of 1 of the legs. you can find the 3rd leg.
then use Area = (1/2) base*height