Thursday, April 9, 2009
Monday, April 6, 2009
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.
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.
Labels:
Circles and Rectangle
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