Find the length of a circle with a radius of 5 cm. What is the length of its arc with a measure of 36?
September 14, 2021 | education
| 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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