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