Question

The inner circumference of a circular track is 440 cm. the track is 14 cm wide. find the diameter of the outer circle of the track.

Answer 1

Let inner radius be r metres.

Then, 2πr = 440 ; [circumference =2πr]

r = 440×7/44 = 70 m.

Radius of outer circle = (70 + 14) m = 84m [inner radius +track wide]

diameter of the outer circle of the track  2*84 =168 m [dia=2* radius]

Ans =168m

Answer 2

The diameter of the outer circle of the track is 168 cm

Explanation:

A circle is a particular type of ellipse in mathematics or geometry where the eccentricity is zero and the two foci are congruent. A circle is also known as the location of points that are evenly spaced apart from the centre. The radius of a circle is measured from the centre to the edge. The line that splits a circle into two identical halves is its diameter, which is also twice as wide as its radius. Here is a formula for the circumference of a circle:

C = πd = 2 π r

Where, π = 3.1415 ≈$\frac{22}{7}$

Given, that the inner circumference of a circular track is 440 cm.

We know, $C = 2\pi r$

$\Rightarrow 440=2\pi r\\\\\Rightarrow r=\frac{440}{2\pi}\\\\\Rightarrow r=\frac{440}{2\times \frac{22}{7}}\\\\\Rightarrow r=\frac{440\times 7}{2\times 22}\\\\\therefore r=70\ cm$

Given the track is 14 cm wide.

So, the radius of the outer track will be $70+14=84\ cm$

We know, $d=2r$

So, the Diameter of the outer track is $2\times 84=168\ cm$

To learn more about circles, click on the links below:

https://brainly.in/question/1404472?msp_srt_exp=5

https://brainly.in/question/50659785?msp_srt_exp=5

#SPJ3