12.03 Extension: Chords of a circle
Interactive practice questions
$C$C is the center of the circle. Calculate $x$x.
A circle with center $C$C has two triangles drawn inside it. Both triangles have one of its vertices located at center $C$C of the circle. The angles of both triangles at center $C$C are congruent to each other, and are labeled $56^\circ$56°, indicating their measures. For each triangle, the two other vertices are both located along the circumference of the circle. For each triangle, two sides, which also represents the circles radius, are drawn from the center $C$C to the vertices located along the circumference. For each triangle, the third side is also a chord of the circle and the side opposite the $56^\circ$56° angle. One of the chords is labeled as $32$32, indicating its length, and the other chord is labeled as $x$x, indicating its unknown length.
Calculate $x$x.
Calculate $x$x.
Find the length of $\overline{AB}$AB in circle $O$O.