Statement: The central angle URN is double of the circumference angle USN standing on the same are UN of a circle.
Construction of figures:
Two circles of different radii with center R are drawn. In each circle, central angle URN and circumference angle USN are drawn which are standing on the same arc UN.
To verify: URN = 2 USN
Method of verification:
By using a protractor, URN and USN are measured and the results are tabulated below.
Figure | URN | USN | 2 USN | Results |
I | 94° | 47° | 94° | URN = 2 USN |
II | 86° | 43° | 86° | URN = 2 USN |
Conclusion: Hence, the central angle of a circle is double the circumference angle standing on the same arc.
Verified