A chord is 6.0 cm from the centre of a circle of radius 10 cm. How long is the chord to the nearest tent of a centimeter???
Did you make a diagram?
draw a line from the centre to the end of the chord.
Looks like we have a right angled triangle with hypotenuse 10, one side 6, the other x, where x is 1/2 the chord
x^2 + 36 = 100
x = 8
sos the chord is 16
Still don't get it.
What grade is this?
Do you know Pythagoras?
Grade 9 and yes i do
To find the length of a chord in a circle, you can use the following formula:
Length of chord = 2 * √(r² - d²)
Where:
- "r" is the radius of the circle
- "d" is the perpendicular distance from the center of the circle to the chord
In this case, the radius (r) is given as 10 cm, and the perpendicular distance (d) from the center to the chord is given as 6.0 cm.
Plugging these values into the formula:
Length of chord = 2 * √(10² - 6.0²)
Length of chord = 2 * √(100 - 36)
Length of chord = 2 * √(64)
Length of chord = 2 * 8
Length of chord = 16 cm
Therefore, the length of the chord to the nearest tenth of a centimeter is 16.0 cm.