Two circles intersect each other such that each circle passes through the centre of the other. If the distance between their centres is 12, what is the radius of each circle? 6 cm 12 cm 24 cm can’t say
Chapter 3 – Circle – Text Book Solution
Problem Set 3 | Q 1.02 | Page 82
Four alternative answers for the following question is given. Choose the correct alternative.
Two circles intersect each other such that each circle passes through the centre of the other. If the distance between their centres is 12, what is the radius of each circle?
- 6 cm
- 12 cm
- 24 cm
- can’t say
Let C1 and C2 be the centres of the two circles.
Radius of circle with centre C1 = Radius of circle with centre C2 = Distance between their centres = C1C2 = 12 cm
Thus, the radius of each circle is 12 cm.
Hence, the correct answer is 12 cm .
Explnation:-
Two circles are given to us with centers C1 and C2. It is given that the distance between the centers of the two circles is 12 cm, which is equal to the radius of each circle. Therefore, the radius of each circle is 12 cm. Hence, the correct answer is 12 cm.
Chapter 3 – Circle – Text Book Solution
Problem Set 3 | Q 1.02 | Page 83
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