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AVprozaik [17]
3 years ago
11

If a angle on the circumference of a circle is subtended by a diameter of the circle what is the angle

Mathematics
1 answer:
Brilliant_brown [7]3 years ago
4 0

Answer:

The angle is 90 degrees

Step-by-step explanation:

Required

Angle subtended by the diameter

The theorem to solve this is:

The angle subtended by an arc is twice the angle it subtends.

<em></em>

<em>The diameter forms </em>180^\circ<em> on the circle, so we have:</em>

<em></em>2*\theta = 180^\circ<em></em>

<em></em>

Where \theta is the angle subtended

Solve for \thets\theta

<em></em>\theta = \frac{180^\circ}{2}<em></em>

<em></em>\theta = 90^\circ<em></em>

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Alex

Answer:

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3 0
3 years ago
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devlian [24]

Answer:

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3 years ago
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2 years ago
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Read 2 more answers
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