Mathematics
Two circles of radii 5 cm and 2.8 cm touch each other. Find the distance between their centres if they touch
(i) Externally
(ii) Internally
Circles
18 Likes
Answer
(i) From figure,
OC = OP + PC = 5 + 2.8 = 7.8 cm
Hence, the distance between centres of circle = 7.8 cm when circles touch externally.
(ii) From figure,
OC = OP - CP = 5 - 2.8 = 2.2 cm.
Hence, the distance between centres of circle = 2.2 cm when circles touch internally.
Answered By
13 Likes
Related Questions
Two concentric circles are of radii 13 cm and 5 cm. Find the length of the chord of the outer circle which touches the inner circle.
In figure (i) given below, triangle ABC is circumscribed, find x.
In figure (ii) given below, quadrilateral ABCD is circumscribed, find x.
The tangent to a circle of radius 6 cm from an external point P, is of length 8 cm. Calculate the distance of P from the nearest point of the circle.