If radius of a circle is increased to twice its original length, how m

1.	If radius of a circle is increased to twice its original length, how much will the area of the circle increase?(a) 1.4 times (b) 2 times (c) 3 times (d) 4 times
Answer» (c) 3 times We know that, area of the circle = πr² Where, r = radius of original circle Then, radius is doubled = 2r Then, area of new circle = π(2r)² = π4r² Hence, the area will increase by 3 times the area of the original circle.

If radius of a circle is increased to twice its original length, how much will the area of the circle increase?(a) 1.4 times (b) 2 times (c) 3 times (d) 4 times

Answer»

(c) 3 times

We know that, area of the circle = πr²

Where, r = radius of original circle

Then, radius is doubled = 2r

Then, area of new circle = π(2r)²

= π4r²

Hence, the area will increase by 3 times the area of the original circle.