The measurement of the arc XZ when the value of angle y which is made on circumference of the circle is 36, is 72 degrees.
What is the central angle of the arc?
Central angle is the angle which is subtended by the arc of the circle at the center point of that circle.
The formula which is used to calculate the central angle of the arc is given below.
θ=s/r
Here, (r) is the radius of the circle, (θ) is the central angle and (s) is the arc length.
The value of angle y is 36 degrees.
∠y=36⁰
The value of center angle is twice to this angle made on circumference. Thus, the central angle is,
2∠y=72⁰
The measure of arc is equal to the angle made by it in the center of the circle. Thus, the arc XZ is,
arc XZ=72⁰
Hence, the measurement of the arc XZ when the value of angle y which is made on circumference of the circle is 36, is 72 degrees.
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