What is the length of an arc on a circle of radius 30.0 cm when θ=60∘?

31.4 cm

Step-by-step explanation:

The length of arc on a circle with radius r and angle (degrees) is given by :-

Then, the length of an arc on a circle of radius 30.0 cm when is given by :-

The length of an arc on a circle of radius 30.0 cm when is 31.4 cm.

The length of an arc = 31.4 cm

Circles are two-dimensional builds which are sets of equidistant points at a point called the center point

The distance of these points to the center is called the radius of the circle. While the circle field is an area which is bounded by a circle

There are terms - terms commonly used in circles:

An arc is part of the circumference of a circle

The length of the arc is the distance from the 2 points (arcs) located around the circle

The length of the arc corresponds to the center angle of the circle.

Calculation of the length of the arc can be done in 2 ways, taking into unit of angle, which is expressed in degrees or radians

Formula used

Formula used

1 radians = = 57.32°

We just use the first formula because in the taskr , the angle it is known in degrees

r = 30 cm

θ = 60°

L = 2.π.r (θ / 360)

L = 2.3.14.30 (60/360)

L = 31.4 cm

circumference

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chord, diameter, secant

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segment division

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Keywords: angle, radians, arcs, central angles, circles, degrees, circumference