The length of an arc = 31.4 cm
Further explanation
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:
- 1. The center point
- 2. Radius
- 3. Arc
- 4. Circumference
- 5. Segment
- 6. Chord
- 7. Annulus
- 8. Diameter
- 9. Disc
- 10. Lens
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
[tex]\large{\boxed{\bold{L=2\pi.r (\frac{\theta}{360})}}}[/tex]
Formula used
[tex]\large{\boxed{\bold{L=r.\theta}}}[/tex]
1 radians =[tex]\frac{180}{\pi }[/tex] = 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
Learn more
circumference
https://brainly.com/question/8929610
chord, diameter, secant
https://brainly.com/question/9969022
segment division
https://brainly.com/question/13063819
Keywords: angle, radians, arcs, central angles, circles, degrees, circumference
