Math, asked by truptipandya, 1 year ago

pls find the total length of spiral step by step​

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Answers

Answered by shipra2250
2
here is the step by step explanation ☝️☝️..
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Answered by shreyanshgupta9
2

Hello user..here is your answer..

The question will be solved by AP formula..

Circumference of circle= 2π r

therefore, circumference of semicirlce= πr

Circumference of circle with radius 1cm = π *1

Circumference of circle with radius 2 cm = π * 2

......

circumference of circle with radius 27 cm = π * 27

So the series is[ π *1 + π * 2... π *27]

taking pie common ..

π[1+2+3+4.....27]... equation 1

NOW , first term of AP is 1 and common difference is 1

SUM OF N TERMS IS GIVEN BY FORMULA ...

SN = N/2 *[2*a + (N -1)*d]

Sum of 27 terms .. = 27/2*[2*1+(27-1)*1]

= 27/2 *28

= 27*14

And putting sum of 27 terms in eq. 1... π(sum of 27 terms )

therefore , 22/7 * 27*14

= 22*2*27

Answer is 1188

Hope it helps you all❤❤❤

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