Verify experimentally that the circumference angles of circle standing on the same arc are equal.
1 Answer
Statement: The circumference angles of a circle standing on the same arc are equal.
Construction figures:
Two circles of different radii with center 'O' are drawn. In each circle, circumference angle ∠ABC and ∠ADC are drawn which are standing on the same arc AC
To verify :- ∠ABC = ∠ADC
Method of verification:
By using a protractor, ∠ABC and ∠ADC are measured and the result are tabulated below.
| Figure | ∠ABC | ∠ADC | Results |
| i. | 65º | 65º | ∠ABC = ∠ADC |
| ii. | 56º | 56º | ∠ABC = ∠ADC |
Conculsion:- hence, the circumference angles of a circle standing on the same arc are equal.
Hence verified
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