The length of the arc XPY can be calculated using the formula:
Length = (angle/360) x 2πr
Where r is the radius of the circle and angle is the central angle subtended by the arc XPY.
In this case, the central angle is 120 degrees (since the triangle is equilateral). Thus, the length of the arc XPY is:
Length = (120/360) x 2π(10) = (1/3) x 20π = 20π/3
Therefore, the length of the arc XPY in terms of π is 20π/3. The closest option is 6.66π, but it is not listed among the choices given.
If the radius shown below is 10m long, what is the length of XPYXPY⏜ in terms of ππ ? (1 point) Responses 12ππ12pi 15ππ15pi 4ππ4pi 720π
1 answer