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skelet666 [1.2K]
4 years ago
6

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

.
Mathematics
2 answers:
Tema [17]4 years ago
4 0

Answer:

<em>The radius of the track is 32 meters</em>

Step-by-step explanation:

<u>Circumference</u>

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

Tomtit [17]4 years ago
3 0

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.

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