Question

There is a circular track of length 400 m. If you are running around the circumference and at an angle of 270° from the centre, what is the length you have covered while running? $\left[2\right]$

Answer 1

If you run for 400 m, angle subtended at the centre will be 360°

Similarly, For ${180}^{\circ }$, length covered = 200 m $\left[1mark\right]$

For ${90}^{\circ }$, we can now say that length covered will be 100 m

So, for ${270}^{\circ }={180}^{\circ }+{90}^{\circ }$, length covered = 200 m + 100 m = 300 m $\left[1mark\right]$