SOLUTION: find the length of the chord which is at a distance of5cm from in center of a circle whose radius is 10cm

Algebra.Com
Question 959334: find the length of the chord which is at a distance of5cm from in center of a circle whose radius is 10cm

Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
find the length of the chord which is at a distance of5cm from in
center of a circle whose radius is 10cm


Let the length of the chord be x.  Then half x is above the horizontal
radius and half of it below.

By the Pythagorean theorem,







Multiply both sides by 4



Taking positive square roots of both sides:









That's approximately 17.32050808 cm

Edwin




RELATED QUESTIONS

In a circle whose radius is 13, a chord has a length of 24. Find the distance of this... (answered by checkley75)
a chord is 7 cent. from center of circle whose radius is 9 cent in lenght. find the... (answered by nerdybill)
The length of a chord in a circle is 10 units. Its distance from the center of the circle (answered by macston)
In a circle whose radius is 15 inches, a chord is 12 inches from the center, what is the... (answered by Alan3354)
in a circle of radius 5, a chord is at a distance of 4 from the center. how long is the... (answered by scott8148)
suppose a chord of a circle is 18 in. long and is 12 in. from the center of the circle.... (answered by edjones)
The radius of a circle is 5 cm and a chord of it is at a distance of 4 cm from the... (answered by jim_thompson5910)
a chord is 7 cent. from center of circle whose radius is 9 cent in lenght. find the... (answered by solver91311)
If the distance from center of a circle to a chord is 5 and the length of chord is 24.... (answered by lwsshak3)