Question

Diameter of earth is 12756000m.In 1996,a new planet discovered whose diameter is 5/86 of the diameter of earth.find the diameter of planet in km.

Answer 1

Given:

Diameter of earth = 12756000 m

New planet's diameter is $\frac{5}{86}$ of the diameter of earth.

To find:

The diameter of planet in km = ?

Solution:

Given that diameter of earth is 12756000 m.

Let us convert it to km first.

We know that:

$1000\ m = 1\ km\\\Rightarrow 12756000\ m = \dfrac{12756000}{1000}\ km\\\\\Rightarrow 12756000\ m = 12756\ km$

$\text{Diameter of planet}=\dfrac{5}{86}\times \text{Diameter of Earth}\\\\\Rightarrow \text{Diameter of planet}=\dfrac{5}{86}\times 12756\ km\\\\\Rightarrow \text{Diameter of planet}=\dfrac{63780}{86}\ km\\\\\Rightarrow \text{Diameter of planet}=741.63\ km$

$\therefore$ Diameter of planet is 741.63 km.

Answer 2

Answer:

Diameter of Earth = 12756000

Diameter of a new planet =

5/86×12756000 m = 741627.90

i.e., 741627.90/1000 km = 741.6km

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