Math, asked by kimbursiyoongi, 11 months ago

The sum of the radii of two circle is 35cm and the difference of their areas is 770cmsquare what is their circumference?

Answers

Answered by 2110
1

Answer:

given,

    let r₁ be radius of 1 circle

        r₂ be radius of 2nd circle

              r₁ + r₂ = 35

             π r₁² - π r₂² = 770

            π( r₁² -r₂²) =770

            ( r₁ + r₂) (r₁ - r₂) = 770/22 * 7

                 35( r₁ - r₂) = 70* 7 /2

                    ( r₁- r₂) = 70 /35 *7/2

                    ( r₁- r₂) = 14/2

                      ( r₁- r₂) =7

  r₁+  r₂ = 35

   r₁-  r₂ =7

2r₁ = 42

r₁ = 21cm

r₂= 35 - 21

  = 14 cm

circumferance of 1 circle= 2π r₁

                                        = 132 cm

circumferance of 2nd circle= 2π r₂

                                             = 88 cm

hope it helps

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