Answer:
The angle is 1/4 the circumference is the arc
Step-by-step explanation:
To solve this, we are to set up a fractional relation between the central angle subtended by the arc and the total angle subtended by the circle.
At this point, we can note that the circumference of a circle actually subtends an angle of 2π radians at the center.
To express the angle subtended by the central angle [angle at the centre of the arc] as a fraction of the total circle, we do this:
The central angle of arc / total angle at the centre of the circle
= π/2 ÷2π
=[tex]\pi/2 \times \frac{1}{2\pi}= 1/4[/tex]
Therefore the angle is 1/4 the circumference is the arc
