Plane and solid geometry . to circle0 at point r, and T is the point of tangency. 287. Def. A sector of a circle is a plane closed figure whoseboundary is composed of two radii and their intercepted arc,as sector SOR. 288. Def. A segment of a circleis a plane closed figure whoseboundary is composed of an arcand the chord joining its extremi-ties, as segment DCE, 289. Def. A segment which isone half of a circle is called a semi-circle, as segment AMB. 290. Def. An arc which is halfof a circumference is called a semicircumference, as arc AMB. 291. Def. An arc greater than a semicircumference isc
Plane and solid geometry . to circle0 at point r, and T is the point of tangency. 287. Def. A sector of a circle is a plane closed figure whoseboundary is composed of two radii and their intercepted arc,as sector SOR. 288. Def. A segment of a circleis a plane closed figure whoseboundary is composed of an arcand the chord joining its extremi-ties, as segment DCE, 289. Def. A segment which isone half of a circle is called a semi-circle, as segment AMB. 290. Def. An arc which is halfof a circumference is called a semicircumference, as arc AMB. 291. Def. An arc greater than a semicircumference iscalled a major arc, as arc DME] an arc less than a semicir-cumference is called a minor arc, as arc DCE. 2Q2,. Def. A central angle, or angle at the center, is an anglewhose vertex is at the center of a circle and whose sides areradii. Ex. 406. The line joining the centers of two circles is 6, the radii are8 and 10, respectively. What are the relative positions of the two circles ?Ex. 407. A circle can have only one 116 PLANE GEOMETRY Propositiox II. Theorem 293. In equal circles, or in tlie same circle, if two cen-tral angles are equal, they intercept equal arcs on tJie cir-cumference; conversely, if two arcs are equal, the centralangles that intercept tliem are equal.
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