The length of an arc of a circle of radius 5 cm subtending an angle of measure 45° is
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Given,
A circle of radius 5 cm subtending an angle of measure 45°.
To Find,
The length of the arc of the circle.
Solution,
Radius of the circle (r) = 5 cm
Measure of the angle (θ) = 45°
We know that the formula of finding an arc in a circle is (2 x π x r x θ)/360
Substituting the values we have,
(2 x π x 5 x 45)/360
[Dividing numerals with same factors]
= 5π/4 cm
Therefore, the length of the arc is 5π/4 cm.
HOW TO FIND THE LENGTH OF AN ARC?
We know that a circle measures 360 degrees. Therefore, if we have the radius of the circle and measure of the angle formed, we can use the formula (2 x π x r x θ)/360 to find the length of the arc.
The above mentioned formula is part of a trigonometric function.
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