Find the length of a circle with a radius of 5 cm. What is the length of its arc with a measure of 36?

A circle is a closed flat curve, all points of which are equidistant from the center.

The circumference is calculated using the formula:

L = 2πR, where:

L is the circumference;

R is the radius of the circle;

π – number ≈ 3.14;

L = 2 · 3.14 · 5 = 31.4 cm.

An arc is the portion of a circle between two radii. The arc length is calculated using the following formula:

Larc = πRα / 180º, where:

R is the radius;

α is the degree measure of the arc angle;

Larc = 3.14 5 36/180 = 565.2/180 = 3.14 cm.

Answer: The length of the circumference is 31.4 cm, the length of the arc of the circle is 3.14 cm.




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