Lisa said that in the circle below 𝑚∠𝐷 = 77°.
Harrison said that in the circle below the 𝑚∠𝐴 = 61°.
Jenna stated that in the circle below 𝑚∠𝐶 + 𝑚∠𝐴 = 180°.
Circumference
Notes and Examples
Suppose a circle is divided into congruent slices. Match each number of slices with the resulting central angle measure of each slice.
| Stavka koja se može prevući | arrow_right_alt | Odgovarajuća stavka |
|---|---|---|
60o | arrow_right_alt | 8 slices |
72o | arrow_right_alt | 6 slices |
120o | arrow_right_alt | 5 slices |
180o | arrow_right_alt | 3 slices |
45o | arrow_right_alt | 4 slices |
90o | arrow_right_alt | 2 slices |
Diego says, “To find arc length, divide the measure of the central angle by 360. Then multiply that by the area of the circle.“ Do you agree with Diego? Show or explain your reasoning.
The image shows a triangle. Sketch the inscribed and circumscribed circles for this triangle.
How do the values of x and y compare? Explain your reasoning.
In the diagram, the measure of the arc from A to B not passing through C is 80o. What is the measure of angle ACB?