The measure of the length of arc XYP is determined as 30π m. (Option A).
How to calculate the measure of arc XPY?
The measure of arc XPY is calculated by applying the following formula.
Length of arc = (θ/360) x 2πr
where;
- θ is the angle subtended by the arc
- r is the radius of the arc
The radius of the circle = 20 m
The angle subtended by the arc XYP = 360 - 90 = 270⁰
The measure of arc XPY is calculated as follows;
Length of arc = (270/360) x 2π(20 m)
Length of arc = 30π m
Thus, the measure of the length of arc XYP is determined as 30π m.