Question

How do you find the length of x and y if there is a circle, x is the arc length, there is an angle of 120 degrees and y is the hypotenuse?

Answer 1

x = 120y

Explanation:

Use formula: x = aR
x is arc lenght, R is radius and a is the central angle.
In this case, the arc lenght is:
`x = 120y`
You can determine x without using the formula.

`360^@` --> full perimeter `2piy, or 360y`
`1^@` --> arc lenght = `(360y)/360`
`120^@` --> arc lenght x = `((360y)(120))/360 = 120 y`