Intermediate Geometry : Plane Geometry
Study concepts, example questions & explanations for Intermediate Geometry
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Example Questions
Example Question #5 : How To Find The Length Of A Chord
If a chord is 
Draw a segment perpendicular to the chord from the center, and this line will bisect the chord. Setting up the Pythagorean Theorem with the radius as the hypotenuse and the distance as one of the legs, we solve for the other leg.
Since this leg is half of the chord, the total chord length is 2 times that, or 7.746.
Example Question #1 : How To Find The Length Of A Chord
If a chord is 
Draw a segment perpendicular to the chord from the center, and this line will bisect the chord. Setting up the Pythagorean Theorem with the radius as the hypotenuse and the distance as one of the legs, we solve for the other leg.
Since this leg is half of the chord, the total chord length is 2 times that, or 9.592.
Example Question #141 : Intermediate Geometry
If a chord is 
Draw a segment perpendicular to the chord from the center, and this line will bisect the chord. Setting up the Pythagorean Theorem with the radius as the hypotenuse and the distance as one of the legs, we solve for the other leg.
Since this leg is half of the chord, the total chord length is 2 times that, or 8.718.
Example Question #11 : Chords
If a chord is 
Draw a segment perpendicular to the chord from the center, and this line will bisect the chord. Setting up the Pythagorean Theorem with the radius as the hypotenuse and the distance as one of the legs, we solve for the other leg.
Since this leg is half of the chord, the total chord length is 2 times that, or 6.928.
Example Question #142 : Plane Geometry
If a chord is 
Draw a segment perpendicular to the chord from the center, and this line will bisect the chord. Setting up the Pythagorean Theorem with the radius as the hypotenuse and the distance as one of the legs, we solve for the other leg.
Since this leg is half of the chord, the total chord length is 2 times that, or 13.416.
Example Question #144 : Plane Geometry
Find the measure of AB in the below circle.
When two chords intersect inside of a circle, one can find the length of the chord for this particular problem by solving the below equation.
Substitute the given information from the diagram.
Now we add 10 to 40 to find the total length from A to B.
AB=50.
Example Question #145 : Plane Geometry
Find the length of the chord in the figure below.
When a chord is intercepted by a perpendicular line segment originating at the center of the circle, the chord is bisected, or cut in half.
Thus, we can use the Pythagorean Theorem to find the half of the chord that acts as the other leg of the right triangle that is created.
Multiply this by 
Make sure to round to 
Example Question #146 : Plane Geometry
Find the length of the chord in the figure below.
When a chord is intercepted by a perpendicular line segment originating at the center of the circle, the chord is bisected, or cut in half.
Thus, we can use the Pythagorean Theorem to find the half of the chord that acts as the other leg of the right triangle that is created.
Multiply this by 
Make sure to round to 
Example Question #147 : Plane Geometry
Find the length of the chord in the figure below.
When a chord is intercepted by a perpendicular line segment originating at the center of the circle, the chord is bisected, or cut in half.
Thus, we can use the Pythagorean Theorem to find the half of the chord that acts as the other leg of the right triangle that is created.
Multiply this by 
Make sure to round to 
Example Question #148 : Plane Geometry
Find the length of the chord in the figure below.
When a chord is intercepted by a perpendicular line segment originating at the center of the circle, the chord is bisected, or cut in half.
Thus, we can use the Pythagorean Theorem to find the half of the chord that acts as the other leg of the right triangle that is created.
Multiply this by 
Make sure to round to 
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