What is the circumference of latitude 0^{}S if R is the radius of the earth?

Correct Answer is : 2πππR cos θθθ

Correct Answer is : 2πππR cos θθθ

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JAMB Mathematics 2020 Paper

Question : 7

Total: 40

^{\circ}

S if R is the radius of the earth?

Solution:

Concept:

The circumference of a circle of latitude depends on the radius of that parallel circle, which shrinks as the latitude increases.

Explanation:

Let

R

be the radius of the Earth and

\theta

be the angle of latitude.

The radius of the parallel circle at latitude

\theta

is:

r = R \cos \theta

The circumference of that circle is:

C = 2\pi r = 2\pi R \cos \theta

At the equator (

\theta = 0^\circ

), this gives

C = 2\pi R

Answer:

2\pi R \cos \theta

Correct option: B.

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