Question

if s = pi r squared , find the value of s when r = 10 1/2, the positive value of r when s =616
(take pi to be 22/7)

Answer 1

1) r = 10 1/2

=> r = 21/2

So just substitute the values.

=> s = πr²

=> s = 22/7 × 21/2 × 21/2

=> s = 11 × 3 × 21/2 (on simplifying)

=> s = 693/2

=> s = 346.5


2) s = 616

So put the values

s = πr²

=> 616 = 22/7 × r²

=> r² = 616 × 7/22

=> r² = 28 × 7

=> r² = 196

=> r = ±√196

=> r = ±14

Since positive value is asked,

r = 14

Answer 2

HEY MATE HERE IS YOUR ANSWER


$<b>In Case 1</b>$

✔️ R = 10 1/2
As it is in mixed form so make it improper
We get,
➡️ R = 21/2

S = pi r ^2 (Given)

So, pit values

➡️ S = 22/7 × 21/2 × 21/2

➡️ S = 11 × 21/2 × 3

➡️ S = 346.5


$<b>In Case 2</b>$

S = 616 (given)

S = pi r ^2 (Given)

616 = 22/7 × r^2
616 × 7/22 = r^2
R^2 = 196

R = /~196

R ➡️ 14

_____________________


Hope it will help you

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