Math, asked by akasrocker, 1 year ago

if the measure of inscribed angle is 80 degree what is the measure of Arc it intercepted

Answers

Answered by nikhil400
22
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.
Answered by steffiaspinno
3

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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