Question

Two circles touch internally. The sum of their areas is 116 pi cm^2 and diatance between their centres is is 6cm. Find the radii of the circle.
Pl Pl answer fast.

Answer 1

$<b >Thanks for asking this question$

Hey here is your answer

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difference of the radii of both circle = 6cm

let the radius of one circle = x

radius of other circle = 6+x

the radius of one circle = x

the area = πr^2

= πx^2

radius of other circle = 6+x

area of circle = πr^2

= π(6+x)^2

= π(6^2 + 2×6×x + x^2 )

= π(36+12x+x^2)

The sum of area of both triangles = 116πcm^2

= πx^2 + π(36+12x+x^2) = 116πcm^2

= π (x^2 + 36 + 12x + x^2) = 116π cm^2

= x^2 + 36 + 12x + x^2 = 116 cm^2

= 2x^2 + 12x + 36 = 116 cm^2

= x = 4

= 6-4 = 2

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hope this helps you