Question

The distance around a circular running track is 200m. Calculate the radius of the track, giving your answer to the nearest metre.

Answer 1

Answer:

The radius of the track is 32 meters

Step-by-step explanation:

Circumference

The circumference of a circle can be defined as the distance around the circle or the length of a circuit along the circle.

Given a circle of radius r, the circumference of the circle can be calculated as follows:

$L=2\pi r$

If we already know the length of the circle, we can solve the above expression for r:

$\displaystyle r=\frac{L}{2\pi}$

The distance given around a circular running track is L=200 m, thus:

$\displaystyle r=\frac{200}{2\pi}=31.830989\ m$

Rounding to the nearest meter:

r= 32 meters

The radius of the track is 32 meters

Answer 2

Answer:

The radius is 31.83m

Step-by-step explanation:

200m is the circumference and the formula for circumference is C=2πr. So 200=2πr. Solve for r (radius) by dividing 2π on both sides to get rid of the 2π. so basically 200/2π= 2πr/2π ... the 2π cancel from the left side and you are left with r= 200/2π, now plug that into the calculator and you will find the radius. r=200/2π which should equal 31.83 meters.