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weqwewe [10]
3 years ago
8

Calculate radius from 27 circumference

Mathematics
1 answer:
natali 33 [55]3 years ago
4 0
The radius is 4.29718
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Answer:

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Step-by-step explanation:

First, we establish the following:

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Therefore:

\angle BAC$ is the angle subtended by arc BC on the circumference.\\\angle BOC$ is the angle subtended by arc BC at the centre.

The inscribed angle theorem states that an angle inscribed in a circle is half of the central angle that subtends the same arc on the circle.

Therefore:

\angle BOC =2\angle BAC\\\angle BOC=2 \times 27\\m\angle BOC=54^\circ

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