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Show that any angle in a semi-circle is ...

Show that any angle in a semi-circle is a right angle.
The following arc the steps involved in showing the above result. Arrange them in sequential order.
A) `therefore angleACB=180^(@)/2=90^(@)`
B) The angle subtended by an arc at the center is double of the angle subtended by the same arc at any point on the remaining part of the circle.
c) Let AB be a diameter of a circle with center D and C be any point on the circle. Join AC and BC.
D) `therefore angleAD = 2 xx angleACB`
`180^(@)=2angleACB(therefore angleADB=180^(@))`

A

DBAC

B

DBCA

C

CBAD

D

CBDA

Text Solution

Verified by Experts

The correct Answer is:
D
CBDA is the required sequential order.
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Knowledge Check

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