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Major arc and minor arc

publish date2026/05/17 00:06:26.465537 UTC

An arc that is shorter than a semicircle is a (1) arc. An arc that is longer than a semicircle is a (2) arc.

Please drag and drop the selected option in the right place or type it instead
minor
major

Correct Answer

(1) minor
(2) major

Explanation

O A B C D E

If point \(O\) is the center of the circle in figure (b), \(\overline{AD}\) is a diameter and \(\widehat{AED}\) is a semicircle. The middle letter \(E\) distinguishes semicircle \(\widehat{AED}\) (the part of the circle from point \(A\) to point \(D\) that includes point \(E\)) from semicircle \(\widehat{ABD}\) (the part of the circle from point \(A\) to point \(D\) that includes point \(B\)).

An arc that is shorter than a semicircle is a minor arc. An arc that is longer than a semicircle is a major arc. In the above figure,\(\widehat{AE}\) is a minor arc and\(\widehat{ABE}\) is a major arc.

Reference

Mathematics for college students


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