Math, asked by parkashgaurav6238, 1 year ago

a race track is the form of a ring whose inner circumference is 352 m and the outer circumference is 396 m find the width of the track and find the area of the track

Answers

Answered by Anonymous
44
hii!!

here's ur answer...

for finding the width of the track we have first find the radius of both circles.

★ inner circumference=352m

therefore 2πr=352m

=> 2×22/7×r=352m

=> 44/7×r=352m

=> r=352/1×7/44

=> r=56m

VERIFICATION:-

CIRCUMFERENCE OF INNER CIRCLE=2πR

=2×22/7×56

=44×8

=352m

hence verified

thus the radius of inner circle is 56m.

★ outer circumference=396m

therefore 2πr=396m

=> 2×22/7×r=396m

=> 44/7×r=396m

=> r=396/1×7/44

=> r=63

VERIFICATION:-

CIRCUMFERENCE OF OUTER CIRCLE=πR²

=2×22/7×63

=44×9

=396m

hence verified

thus the radius of the outer circle is 63m

width of the track=63-56

=7m

★ area of inner circle=πr²

=22/7×56×56

=22×8×56

=9856m²

★ area of outer circle=πr²

=22/7×63×63

=22×9×63

=12474m²

hence area of the track=12474-9856

=2618m²

hope this helps..!

☺☺☺
Answered by piyushgen
1

Answer:

The width of the track is 7 m

Step-by-step explanation:

let the radius of inner track = r

let the radius of inner track = r2 pie r = 352

let the radius of inner track = r2 pie r = 352r = 56

let the radius of inner track = r2 pie r = 352r = 56let the radius of outer track = R

let the radius of inner track = r2 pie r = 352r = 56let the radius of outer track = R2 pie R = 396

let the radius of inner track = r2 pie r = 352r = 56let the radius of outer track = R2 pie R = 396R = 63

let the radius of inner track = r2 pie r = 352r = 56let the radius of outer track = R2 pie R = 396R = 63width of track = radius of outer track - radius of inner track

let the radius of inner track = r2 pie r = 352r = 56let the radius of outer track = R2 pie R = 396R = 63width of track = radius of outer track - radius of inner track=63 - 56

let the radius of inner track = r2 pie r = 352r = 56let the radius of outer track = R2 pie R = 396R = 63width of track = radius of outer track - radius of inner track=63 - 56= 7 m

mark as brainlest

Similar questions