circle is 29 in diameter, have a segment that mesures 9 on the radius, what is area of segment

Question

have circle diameter 29, have segment of circle with radius of 9 - what is area of segment?

Answer 1

I assume the segment belongs to the circle with diameter 29 and that the measure 9 of the segment is along the circumference, which in total is 29(pi). The ratio of the segment length to the circumference of the circle is the same as the ratio of the area of the segment to the area of the circle. 9/(29(pi))=area/((pi)*14.5*14.5). Therefore area of segment=9*14.5*14.5/29 because the pi's cancel out, and area=9*14.5/2=65.25.