Concept explainers
To Find : The measure of chord JK of the given
Answer to Problem 17WE
The measure of chord JK is
Explanation of Solution
Given information:
Consider the figure as below:
In above figure circle contain chords JK, point O is a center point of circle.
Radius
Measure of arc
To find measure of chord JK,
Firstly draw a perpendicular segment OM which bisects chord JK and arc JK into two equal parts as KM = JM and line segment OK= 10 which a radius as shown in above figure.
If measure of arc
To find the measure of KM.
Use
Because perpendicular segment OM which bisects
Also let
Measure of
Multiply both sides of equation
Divide both sides of equation
Hence, the value is
In circle M is the midpoint of the chord JK.
That means
Then if
Substitute these values in equation
Therefore, measure of chord JK is
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