the radii of the two circles with centres X and Y are 7 cm and 4cm respectively if the distance between their centres is 11 cm state whether the two circle will intersect or touch each other
Answers
Answer:
They will touch each other
Step-by-step explanation:
As the radius of the circles are 7cm and 4cm
and the distance between their centres is 11cm
and if add the radius of the two circles , we will get the distance between their centres = 7cm+4cm
= 11cm
Hence , they will touch each other
Given : The radii of the two circle with centre X and Y are 7cm and 4cm respectively.
the distance between their centre is 11 cm,
To Find : whether the two circle will intersect or touch each other
Solution:
Join XY using straight line
XY = 11 cm as the distance between their centre is 11 cm,
11 = 7 + 4
= Sum of radius
Hence circles touches each other
if distance between centers is greater than sum of radius then no touching , no intersection
if if distance between centers is less than sum of radius then intersecting circles
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