Question

Find the ratio of the areas of two circles whose
radii are 4 cm and 7 cm.​

Answer 1

Answer:

9/16

Step-by-step explanation:

area of circle when radius is 3 cm 22/7*3*3---------1

area of circle when radius is 4 cm 22/7*4*4----------2

dividing 1 and w we have 9/16

hence 9/16 is the ratio

Answer 2

Answer:

$\frac{16}{49}$

16:49

Step-by-step explanation:

area of circle =

$\pi \: {r}^{2}$

therefore,

$\pi {4}^{2} \:$

------(eq.1)

$\pi {7}^{2}$

--------(eq.2)

since,

we have to find the ratio area of circle by the ratio of it's radius 4:7

therefore,

$\frac{\pi {4}^{2} }{\pi {7}^{2} }$

---( pie will get cut)

$\frac{ {4}^{2} }{ {7}^{2} } \\ \ \\ \frac{16}{49}$

16:49