
If the radius of the earth is 4000 miles, what is the length of its circumference?
Answer
478.8k+ views
Hint:To answer this question we will first know what circumference means. Later we will apply a simple formula that is the circumference of the circular (spherical) figure and find the circumference.
Formula Used:
\[C = 2R\pi \]
Where C = circumference and
R=radius.
Complete step-by-step solution:
Circumference is a curved geometric figure's enclosing boundary, especially a circle.
\[C = 2R\pi \]
It is given that
radius of the earth be 4000 miles
hence \[C = 2 \times 4000 \times \pi \]
\[ \Rightarrow C = 8000 \times \pi \]
\[ \Rightarrow C = 8000 \times 3.14\]
\[ \Rightarrow C = 25120miles\]
Hence the length of the circumference of earth’s surface with radius 4000 miles.
Additional Information:
The circumference of the Earth is the distance around it. It is 40,075.017 km around the Equator (24,901.461 mi). The circumference is 40,007,863 km when measured around the poles (24,859.734 mi). Since ancient times, measuring the circumference of the Earth has been important for navigation. In contemporary times, the circumference of the Earth has been utilised to define fundamental units of length measurement: the nautical mile in the seventeenth century and the metre in the eighteenth. The polar circumference of the Earth is quite close to 21,600 nautical miles since the nautical mile was designed to express one minute of latitude (see meridian arc), which is 21,600 partitions of the polar circumference.
Note:1) Students should note that there is no different formula for circumference of circle and sphere, they are the same \[C = \pi r2\] and do not use the formula as \[C = \pi {r^2}\], it is wrong, it is the formula for area of the circle.
Formula Used:
\[C = 2R\pi \]
Where C = circumference and
R=radius.
Complete step-by-step solution:
Circumference is a curved geometric figure's enclosing boundary, especially a circle.
\[C = 2R\pi \]
It is given that
radius of the earth be 4000 miles
hence \[C = 2 \times 4000 \times \pi \]
\[ \Rightarrow C = 8000 \times \pi \]
\[ \Rightarrow C = 8000 \times 3.14\]
\[ \Rightarrow C = 25120miles\]
Hence the length of the circumference of earth’s surface with radius 4000 miles.
Additional Information:
The circumference of the Earth is the distance around it. It is 40,075.017 km around the Equator (24,901.461 mi). The circumference is 40,007,863 km when measured around the poles (24,859.734 mi). Since ancient times, measuring the circumference of the Earth has been important for navigation. In contemporary times, the circumference of the Earth has been utilised to define fundamental units of length measurement: the nautical mile in the seventeenth century and the metre in the eighteenth. The polar circumference of the Earth is quite close to 21,600 nautical miles since the nautical mile was designed to express one minute of latitude (see meridian arc), which is 21,600 partitions of the polar circumference.
Note:1) Students should note that there is no different formula for circumference of circle and sphere, they are the same \[C = \pi r2\] and do not use the formula as \[C = \pi {r^2}\], it is wrong, it is the formula for area of the circle.
Recently Updated Pages
Master Class 10 Computer Science: Engaging Questions & Answers for Success

Master Class 10 Maths: Engaging Questions & Answers for Success

Master Class 10 General Knowledge: Engaging Questions & Answers for Success

Master Class 10 English: Engaging Questions & Answers for Success

Master Class 10 Social Science: Engaging Questions & Answers for Success

Master Class 10 Science: Engaging Questions & Answers for Success

Trending doubts
Who composed the song Vande Mataram A RabindraNath class 10 social science CBSE

Why is there a time difference of about 5 hours between class 10 social science CBSE

The revolutionary who died after 63 days of the hunger class 10 social science CBSE

The slogan of Bande Mataram was first adopted during class 10 social science CBSE

Why is Sardar Vallabhbhai Patel called the Iron man class 10 social science CBSE

Write a letter to the principal requesting him to grant class 10 english CBSE

