GEOMETRY Unit 9 Name _______________________ TERM DEFINITION The set of all points in a plane at a given distance from a given point, called the _______________. symbol: ______ ex. _____ Any ___________ joining the center of the circle to a point on the circle. All ___________ (plural) are ____________. ex. _____ A ___________ whose endpoints lie on a circle. ex. _____ A ___________ that contains the center of a circle. ex. _____ ____________ = 2 ∙ ___________ It is the longest chord of any circle! A ________ that contains a chord of a circle. ex. ____ A line in the plane of a circle that intersects the circle in exactly ______ point. Sometimes a _______ or ____________. ex. _____ __________________: point of intersection PICTURE The set of all points in _________ at a given distance from a given point, called the center. **The same terms are used as a circle. Circles (spheres) that have _________________ radii. Circles (spheres) that have the same _____________. A polygon that is ____________ a circle so that each of its vertices lie on the circle. A circle that ______________a polygon so that each vertex of the polygon lies on the circle. Draw O. Then draw radii OA and OB with length of 6 so that mAOB = 60 angle. Find the length of AB. Draw O. Then draw radii OA and OB with length of 6 so that mAOB = 90 angle. Find the length of AB. Unit 9—Circles Basic Terms HW NAME: ______________________ Use the picture to identify the following. (Remember notation!) 1) Name 2 chords. ______ _______ N 2) Name two radii. ________ ________ 3) Name a tangent. ________ P J M O 4) What is the point of tangency? _______ R 5) Name a secant. _______ K 6) The circle would be called _____ L 7) Name the diameter. _______ 8) If ON = 5 m, find the length of KN. _______ 9) If OK = 12.25 cm, find the length of NO. _______ 10) Why is RP not a chord? ________________________________________________________ Complete the following. 11)A circle has radius 8, find the diameter. _______ 13) A circle has diameter of 6x, find the radius. ______ 12)A circle has diameter 13, find the radius. ______ 14) A circle has radius of 4√3, find the diameter. _______ 15) Draw radii OK and OJ so that mKOJ = 60 angle. Find the length of JK if OK=10. 16) Use the picture to find the length of AB. AOB=120˚ Hint Look for Special Right ’s!! B O 12 A