1. Chords HY and E0 intersect at the center ofON. Shade the region bounded by HE when secant HE intersects ON at the points Hand E. 2. KS is tangent to the circle at T. Secant KR contains P, the center of the circle. PR and PT are radii of the circle. Shade the sector of the circle bounded by TR. 2. 3. 3. Secant SQ touches the circle at point Rand S and intersects tangent TQ outside the circle. Draw chords TR and S7 to form ASRT. 4. 4. Draw. Two tangent lines intersect outside o Rat point A and Intersect the circle at points N and O, respectively. Radii RN and RO connect the tangent lines to the center of circle. RA connects the center of the circle to the point of intersection of the two tangent lines. 5. Draw. Tangent RVintersects Hat A. Tangent RN intersects OH at O. Tangent NW intersects O Hat E. Tangent VWintersects Hat Y. Connect the points of intersections on the circle with the tangent lines. Name the figure inscribed in the circle using the points of intersections. Name the figure inscribing the circle using the points of intersections outside the circle. (Example: triongle ABC)
Angles in Circles
Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.
Arcs in Circles
A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.
1. Chords HY and E0 intersect at the center ofON.
Shade the region bounded by HE when secant HE intersects ON
at the points Hand E.
2. KS is tangent to the
the circle. PR and PT are radii of the circle. Shade the sector of the
circle bounded by TR.
2.
3.
3. Secant SQ touches the circle at point Rand S and intersects
tangent TQ outside the circle. Draw chords TR and S7
to form ASRT.
4.
4. Draw. Two tangent lines intersect outside o Rat point A and
Intersect the circle at points N and O, respectively. Radii RN and RO
connect the tangent lines to the center of circle. RA connects the
center of the circle to the point of intersection of the two tangent lines.
5. Draw. Tangent RVintersects Hat A. Tangent RN intersects OH
at O. Tangent NW intersects O Hat E. Tangent VWintersects Hat Y.
Connect the points of intersections on the circle with the tangent lines.
Name the figure inscribed in the circle using the points of intersections.
Name the figure inscribing the circle using the points of intersections outside
the circle. (Example: triongle ABC)
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