if the measure of inscribed angle is 80 degree what is the measure of Arc it intercepted
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This is pretty straightforward, so we're not going to dwell on it. But if you ever see a question like this - 'If central angle AOB measures 80 degrees, what is the measure of inscribed angle ACB?' - know that you just need to cut that 80 in half. So, it's 40 degrees.
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8/9*πr
Step-by-step explanation:
Kindly refer to the attached image.
Given: The measure of inscribed angle is 80'.
To find: The measure of the arc it intercepts.
By properties of circle(refer to the diagram).
∠AOC = 2*∠ABC
Therfore, ∠AOC = 2*80°
∠AOC = 160°
The length of the arc it intercepts is given by (160/360)*2πr
where 2πr is the circumference of the circle.
Therefore, the measure of arc = 8/9*πr
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