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

Answer 1

Radius of bigger circle = 6.3 cm

and of smaller circle = 3.6 cm

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

Adding,

OP + O'P = 6.3 + 3.6 = 9.9 cm

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