An arc of a cirle measure 30°.if the radius is 5cm,what is the length of the arc? Give the solution.
Use these
lenght=tita/360*2(pi)(r)
tita=30
pi=22/7
r=5 just plug into the formula and get your lenght
To find the length of an arc, you can use the formula:
Arc Length = (θ / 360°) * (2πr)
Where:
- θ is the measure of the arc in degrees
- r is the radius of the circle
In this case, the measure of the arc is 30° and the radius is 5 cm. Plugging these values into the formula:
Arc Length = (30° / 360°) * (2π * 5 cm)
Simplifying this equation:
Arc Length = (1/12) * (10π cm)
And further simplifying:
Arc Length = (5/6)π cm
Therefore, the length of the arc is (5/6)π cm or approximately 2.62 cm.