Question

Find the radius of a circle whose area is twice the area of a circle of radius 14cm. ​

Answer 1

$\text{First we have to find the Area of circle with radius 14 cm.}$

$\boxed{\sf \bold{Area = πr²}}$

$\sf \implies \: \frac{22}{7} \times {r}^{2}$

$\implies \frac{22}{7} \times 14 {}^{2}$

$\implies \: \frac{22}{ \cancel7} \times \cancel{28} {}^{4}$

$\implies \: 22 \times 4$

$\large{ \boxed{ \sf \: area = 88}}$

$\green{ \text{Now, If Area is doubled}}$

$\sf \: Area = 88+88 \: = 176$

$\sf \: Area = πr²$

$\sf \: 176 = \frac{22}{7} r²$

$\sf176 \times \frac{7}{22} = {r}^{2}$

$\sf \: 56 = {r}^{2}$

Now find radius

hope this is your answer if not than divide 56 by 2

Answer 2

Step-by-step explanation:

area of circle=22/7multiple (radius square)

=22/7multiple 14multiple 14

=22 multiple 28

=611

in second case

We know

area of this circle twice the another circle

So,area of circle =22/7 multiple (radius square)

611 multiple 2. =22/7 multiple.(radius square)

1222multiple 7 by 22= (radius square)

388. =r square

root 388= r

19.77. = radius

So radius of circle is 19.77