How many degrees does the angle formed by a semicircle measure?

How many degrees does the angle formed by a semicircle measure?

• A. 90 degrees
• B. 180 degrees
• C. 360 degrees
• D. 270 degrees

Answer: (B)

The angle formed by a semicircle measures 180 degrees because a semicircle constitutes half of a full circle. A complete circle encompasses 360 degrees, so when you take half of that, which is what a semicircle represents, the result is 180 degrees. In geometrical terms, when you draw a semicircle and connect its endpoints with a line (the diameter), the angle formed at the center by these two endpoints is always 180 degrees. This property holds true regardless of the size of the semicircle, making it a fundamental aspect of circular geometry.

The angle formed by a semicircle measures 180 degrees because a semicircle constitutes half of a full circle. A complete circle encompasses 360 degrees, so when you take half of that, which is what a semicircle represents, the result is 180 degrees. In geometrical terms, when you draw a semicircle and connect its endpoints with a line (the diameter), the angle formed at the center by these two endpoints is always 180 degrees. This property holds true regardless of the size of the semicircle, making it a fundamental aspect of circular geometry.