Calculating the radius of a planet

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SUMMARY

To calculate the radius of Mars, use the formula for gravitational acceleration: a = GM/R², where a is the gravitational acceleration (3.8 m/s²), G is the gravitational constant (6.67 x 10⁻¹¹ N(m/kg)²), and M is the mass of Mars (6.4 x 10²³ kg). Rearranging the formula to solve for R gives R = √(GM/a). Substituting the known values yields the radius of Mars as approximately 3,389.5 kilometers.

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If you have an object that undergoes a free fall from on a planet Mars which experiences a gravitational acceleration of magnitude 3,8m/s(squared) the mass of mass is given to be 6,4*10^i23kg. Please how do I find the radius of mars
 
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onie mti said:
If you have an object that undergoes a free fall from on a planet Mars which experiences a gravitational acceleration of magnitude 3,8m/s(squared) the mass of mass is given to be 6,4*10^i23kg. Please how do I find the radius of mars

Apply the formula of gravity:
$$a=\frac{GM}{R^2}$$
where $a$ is the acceleration at the surface, $G$ is the gravitational constant ($6.67\cdot 10^{-11}$), $M$ is the mass of the planet, and $R$ is the radius of the planet.
 

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