Question

the radius of Jupiter is 11 times the radius of the earth calculate the ratio of their areas of Jupiter and earth​

Answer 1

Answer:

here

Explanation:

if

Rj=11Re

where Rj is radius of Jupiter and Re is radius of earth

then the area is in ratio

πRj^2:πRe^2

Rj^2:Re^2

121Re^2:Re^2

121:1

Answer 2

$\Huge{\underline{\underline{\mathfrak{Answer \colon }}}}$

Given,

Radius of Jupiter is eleven times that of radius of earth

$\large{\implies \sf{{R}_{J} = 11 {R}_{E}}}$

Generally,both Earth and Jupiter are spherical in shape with some irregularities.

Assuming that both Earth and Jupiter are perfect spheres

Surface Area of Spheres is given by :

$\huge{ \boxed{ \boxed{ \sf{4\pi \: {r}^{2} }}}}$

Now,

$\large{\sf{\frac{{A}_{J}}{{A}_{E}} = \frac{\cancel{4 \pi }{{R}_{J}}^{2}}{\cancel{4 \pi }{{R}_{E}}^{2}}}}$

$\large{\leadsto \ \sf{\frac{{A}_{J}}{{A}_{E}} = \frac{{(11{R}_{E})}^{2}}{ {{R}_{E}} ^{2}}}}$

$\huge{ \leadsto \ \boxed{\boxed{\sf{{A}_{J} : {A}_{E} = 121 : 1 }}}}$

Implies,

121 Earth's can make up a Jupiter