When confronted with an angle greater than 180° in a circle graph, it is essential to split that angle into two or more segments to maintain the integrity and accuracy of the graphical representation.
When creating a circle graph (also known as a pie chart) by hand, each sector represents a portion of the whole, and the angle of each sector corresponds to the proportion of that portion. In a circle, the maximum angle that can be represented is 360°, as it completes the entire circle.
If one of the angle measures is greater than 180°, it means that the corresponding sector would extend beyond half of the circle. To address this, it is appropriate to split the angle into two or more segments. This ensures that each segment accurately represents the proportion of the data it represents without exceeding the constraints of a circle graph.
Dividing the angle by 2 (option a) is not a suitable solution, as it would still result in a single segment that could potentially exceed the 180° limit. Scaling down all angle measures proportionally (option b) would distort the representation of data and compromise the accuracy of the graph.
Ignoring angles greater than 180° (option d) is not a valid option, as it would lead to an incomplete and inaccurate representation of the data.