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Radii of Two Circles Are 6. 3 Cm and 3.6 Cm. State the Distance Between Their Centres If: (I) They Touch Each Other Externally (Ii) They Touch Each Other Internally - ICSE Class 10 - Mathematics

ConceptTangent Properties - If Two Circles Touch, the Point of Contact Lies on the Straight Line Joining Their Centers

Question

Radii of two circles are 6. 3 cm and 3.6 cm. State the distance between their centres if:
(i) they touch each other externally
(ii) they touch each other internally

Solution

Radius of bigger circle = 6.3 cm
and of smaller circle = 3.6 cm

i)

Two circles are touching each other at P externally. O and O ' are the centers of the circles. Join
OP and O'P
OP = 6.3 cm, O'P = 3.6 cm
OP + O'P = 6.3 + 3.6 = 9.9 cm

ii)

Two circles are touching each other at P internally. O and O ' are the centers of the circles. Join
OP and O’P
OP = 6.3 cm, O'P = 3.6 cm
OO ' = OP − O’P = 6.3 − 3.6 = 2.7 cm

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Solution Radii of Two Circles Are 6. 3 Cm and 3.6 Cm. State the Distance Between Their Centres If: (I) They Touch Each Other Externally (Ii) They Touch Each Other Internally Concept: Tangent Properties - If Two Circles Touch, the Point of Contact Lies on the Straight Line Joining Their Centers.
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