What is the arc length of the arc 12cm 45deg?
The arc length of the arc 12cm 45deg can be found using the formula:
arc length = (angle/360) x 2πr
where r is the radius of the circle.
Assuming that the arc is part of a full circle, the radius can be found using the formula:
circumference = 2πr
or
r = circumference / 2π
Since the circumference of the circle is not given, we can use the radius of the circle as a given value.
Let's say the radius of the circle is 10cm. Then, the arc length would be:
arc length = (45/360) x 2π(10)
arc length = (1/8) x 20π
arc length = 5/2π cm
Therefore, the arc length of the arc 12cm 45deg is approximately 7.85 cm (rounded to two decimal places).
To find the arc length of the arc, you need to use the formula:
Arc Length = (θ/360) * 2πr
where θ is the central angle of the arc in degrees and r is the radius of the circle.
Given that the central angle is 45 degrees and the radius is 12 cm, you can substitute these values into the formula:
Arc Length = (45/360) * 2 * π * 12
Simplifying this equation, you get:
Arc Length = (1/8) * 2 * π * 12
Arc Length = (1/8) * 24 * π
Arc Length = 3π cm
So, the arc length of the arc with a central angle of 45 degrees and a radius of 12 cm is 3π cm.