Question

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

Answer 1

The answer is approx 20 cm

IF IT IS CORRECT MARK ME BRAINLIST IT WILL HELP ME

r =14

AREA = 616

AREA OF BIG CIRCLE = 1232

R=19.7

Answer 2

Answer:

∴ The required value of radius of a circle is $7.49$ cm.    

Step-by-step explanation:

• In context with question asked,
• We have to find the radius of a circle whose area is twice the area of a circle of radius $14$ cm.​
• So, the area of circle having radius $14$ cm = $2\pi r$

                                                           = $2\times \frac{22}{7} \times 14$

                                                           = $2\times 22\times 2$

                                                           = $88$ $cm^{2}$  

• Now,

     Area of other circle = $2\times$ area of circle having radius $14$ cm

                               = $2\times 88$

                               = $176$ $cm^{2}$

• To find the radius, use the formula,

     Area of other circle = $\pi r^{2}$

                          ∴ $176=3.14\times r^{2}$

                           ∴ $r^{2} = \frac{176}{3.14}$

                           ∴ $r^{2} =56.05$

• Taking square roots of both the sides, we get

                           ∴ $r=7.49$ cm

• ∴ The required value of radius of a circle is $7.49$ cm.