Question

what should be the degree measure of sector of a circle if it becomes a quadrant​

Answer 1

Answer:

The degree measure of sector of a circle if it becomes a quadrant is  90°

Explanation:

Quadrant is referred to 1/4 th part

We have the formula,

Angle of a sector = (length of arc) / (radius of circle)  i.e., $\theta=\frac{s}{r}$

Now for a quadrant length of arc is equal to 14th part of circumference of a circle

so $s=\frac{2{\pi}r}{4}$

Now, $\theta =\frac{2{\pi}r}{4r}$

         $\theta = \frac{\pi}{2}$

         $\theta$ = 90°