. The radii of two circles are 8 cm and 12 cm, while the distance between their centres is 15 cm. In how many point/ s do these circles intersect?
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Step-by-step explanation:
first answer is wrong I swear . it is totally wrong
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Given
- radii of two circles are 8 cm and 12 cm
- distance between their centres is 15 cm
To find
- many points do these circles intersect.
Solution
we are provided with the radius of two circles and the distance between the centre of them.
we know that Circle to intersect exactly at 1 point the distance between the centres of the circle must be equal to the sum of the radii of both of circle.
But in this case, some of radii of circles is 20cm
and the distance between the centres as given is 15cm
therefore it is clear that the two circles does not Intetsect exactly at one point.Also, the sum of radius of two circle is greater than the distance between the centers of the circle, it becomes evident that the two circles intersects
Therefore we can conclude that the circles intersects exactly at 2 points
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