Exploring Angles in a Circle
Exploring Chord Properties
Perpendicular Bisector of a chord- a line that passes through the center of the circle and is perpendicular to a chord bisects the chord
Bisect a Chord With a Radius: Radius CD bisects Chord AB measures 8 cm. The Radius of the circle is 5 cm. What is the length of segment CE? Since CD is a radius that bisects the chord AB, then CD is perpendicular to AB and <AEC=90 degrees. The lenth of AE is 4cm because CD bisect 8 cm chord AB.The radious AC id 5cm. Using the Pythagorean relationship in triangle ACE, CE² + AE² = AC² CE² + 4² =5² CE² + 16 = 25 CE^2 = 9 CE = √9 CE = 3 |
Tangents in a Circle
Tangent to a circle:
A tangent to a circle is perpendicular to the radios at the point of tangency
Tangent Chord relationship:
A chord is drawn perpendicular to a tangent at the point of tangency contains the center of the circle, and is a diameter
(look above for example)
A tangent to a circle is perpendicular to the radios at the point of tangency
Tangent Chord relationship:
A chord is drawn perpendicular to a tangent at the point of tangency contains the center of the circle, and is a diameter
(look above for example)