What is the arc length of the arc 12cm 45deg?

1 answer

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).