Question

the inner and Outer circumference of a circular racing track for 264 cm and 352 CM respectively find the width of racing track​

Answer 1

Answer:

Width of the racing track is 14 cm.

Step-by-step explanation:

Given: The inner and Outer circumference of a circular racing track for 264 cm and 352 cm respectively.

To find: Width of racing track​.

Solution:

Let r cm be the radius of inner circular track and R cm be the radius of outer circular track.

Now, circumference of inner circular racing track is 264 cm.

So, $2\pi r=264$

$r=\frac{264\times7}{2\times22}$

$r=42$

So, the radius of the inner circular track is 42 cm.

Now, circumference of outer circular racing track is 352 cm.

So, $2\pi R=352$

$R=\frac{352\times7}{2\times22}$

$R=56$

So, the radius of the outer circular track is 56 cm.

The width of the track is $56-42=14$ cm

Hence, the width of the racing track is 14 cm.

Answer 2

Answer:

14 cm

Step-by-step explanation:

The inner and Outer circumference of a circular racing track for 264 cm and 352 cm respectively.

To find: Width of racing track.

Solution:

Let r cm be the radius of inner circular track and R cm be the radius of outer circular track.

Now, circumference of inner circular racing track is 264 cm.

So, 2\pi r=2642πr=264

r=\frac{264\times7}{2\times22}r=2×22264×7

r=42r=42

So, the radius of the inner circular track is 42 cm.

Now, circumference of outer circular racing track is 352 cm.

So, 2\pi R=3522πR=352

R=\frac{352\times7}{2\times22}R=2×22352×7

R=56R=56

So, the radius of the outer circular track is 56 cm.

The width of the track is 56-42=1456−42=14 cm

Hence, the width of the racing track is 14 cm.