Mathematics
Assertion (A) : When the radius of a circle is increased by 3 cm, its diameter will increase by 2 x 3 cm.
Reason (R) : Original radius is r cm, original diameter 2r cm
∴ Increase in length of diameter = 2(r + 3) cm - 2r
Both A and R are correct, and R is the correct explanation for A.
Both A and R are correct, and R is not the correct explanation for A.
A is true, but R is false.
A is false, but R is true.
Circles
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Answer
Original radius = r cm
Original diameter = 2r cm
New radius = (r + 3) cm
New diameter = 2(r + 3) cm
Increase in length of diameter = New diameter - Original diameter
= 2(r + 3) - 2r
= 2r + 2 x 3 - 2r
= 2 x 3
= 6 cm.
∴ Both A and R are correct, and R is the correct explanation for A.
Hence, option 1 is the correct option.
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