The value of the measure of the angle which is turns through 3/8 of the circle is 135 degrees.
How to find the angle which is turns through of a circle?
To find the measure of the angle in radian which is turns through of the circle, multiplied it by 2π. As the circle has total 360 degrees.
Thus, the measure of the angle can also be find out by multiplying it with 360.
An angle turns through 3/8 of a circle. The measure of the angle in radian is,
[tex]\theta=\dfrac{3}{8}\times(2\pi)\\\theta=\dfrac{3}{4}\pi[/tex]
The measure of the angle in degree is,
[tex]\theta=\dfrac{3}{4}\times(\pi)\times\dfrac{180}{\pi}\\\theta=135^o[/tex]
Hence, the value of the measure of the angle which is turns through 3/8 of the circle is 135 degrees.
Learn more about the measure of angle of a circle here;
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