Question

diameter of earth is 1275600 m. a new planet was discovered whose diameter is 5/86 of the diameter of earth. find the diameter of this planet in km
full solution​

Answer 1

Answer:

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Answer 2

Answer:

Given:

Diameter of earth = 12756000 m

New planet's diameter is \frac{5}{86}

86

5

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:

\begin{gathered}1000\ m = 1\ km\\\Rightarrow 12756000\ m = \dfrac{12756000}{1000}\ km\\\\\Rightarrow 12756000\ m = 12756\ km\end{gathered}

1000 m=1 km

⇒12756000 m=

1000

12756000

km

⇒12756000 m=12756 km

\begin{gathered}\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\end{gathered}

Diameter of planet=

86

5

×Diameter of Earth

⇒Diameter of planet=

86

5

×12756 km

⇒Diameter of planet=

86

63780

km

⇒Diameter of planet=741.63 km

\therefore∴ Diameter of planet is 741.63 km