Correct option is B
Solution:
When the sum of the radii of two circles is equal to the distance between their centers, the two circles touch each other externally.
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If sums of the radii and distance between the centres of two circles are equal then:
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- 1)
Two concentric circles have radii of 10 cm and 26 cm. Find the length of the chord of the larger circle that is tangent to the smaller circle.
- 2)Two circles touch each other at a point O. AB is a simple common tangent to both the circles touching at point A and point B. If radii of the circles are 9 cm and 4 cm, then find AB.
- 3)
If the radius of two circles are 4.5 cm and 3.5 cm and the length of the transverse common tangent is 6 cm, then the distance between the two centers will be:
- 4)
Two concentric circles form a circular path. The inner and outer circumference of the path are m and m respectively. Find the width of the path.
- 5)P and Q are centres of two circles whose radii are 7 cm and 3 cm, respectively. If the direct common tangents to the circles meet PQ extended at A, then A divides PQ ________.
- 6)If sums of the radii and distance between the centres of two circles are equal then:
- 7)In the following figure, there are two circles that touch each other externally. The radius of the first circle with centre P is 25 cm. The radius of the second circle with centre Q is 4 cm. Find the length of their direct common tangent AB.
Figure is not to scale and is only for representational purpose - 8)When two circles of radii r1 and r2 have their centres at a distance d apart, then length of the common transverse tangent is:
- 9)There are two circles that touch each other externally. Radius of the first circle with centre O is 12 cm. Radius of the second circle with centre A is 8 cm. Find the length of their common tangent BC.
- 10)In the following figure, the circles with centres B and D have radii 4 cm and xcm, respectively. AC is a tangent to both the circles. Find the value of x.
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