Question

The diameters of two circles touching each other internally are 26 cm and 14 cm respectively.Find the distance between their centres​

Answer 1

hope this answer will help you

Answer 2

$Let \: D\: and \: d \: are \: diameters \: of \\ two\: circles \: touching \: each \: other \: internally$

$D = 26 \: cm \: and \: d = 14 \: cm$

$External \: circle \: radius (R) = \frac{D}{2} \\= \frac{26}{2} \\= 13 \:cm$

$Internal \: circle \: radius (r) = \frac{d}{2} \\= \frac{14}{2} \\= 7 \:cm$

$\red{ Distance \: between \: their \: centres }\\= R - r \\= 13 \:cm - 7 \:cm \\= 6 \:cm$

Therefore.,

$\red{ Distance \: between \: their \: centres }\\\green { = 6 \:cm}$

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