Question to Prove Rectangle Inscribed the Circle Properties

Topic : Rectangle Inscribed the Circle

Question : If RTCE is a rectangle, then show that RC is the diameter of the circle.









Solution :
Since ∟RTC = 90º
So measure of arc REC = 180
mREC = 180º
This shows that the arc REC is half of the circle as the total measure of circle is 180º X 2 = 360º

That means arc REC forms a semi circle
Hence RC passes through the center of the circle or we can say that RC is the diameter of the circle.
Hence proved.