The radius of a circle is 3 centimeters. What is the length of a 90° arc?

How to Determine the Length of an Arc dummies

Assume the central angle is 35 degrees and the radius is 1.

The circumference of the whole circle is 2 x pi x radius. Since the radius is 1, the circumference will be 2 x pi.

Now a full circle is 360 degrees.

Now we can set up a ratio of 35 degrees is to 360 degree as x is to 2pi.

35 x
---- = -------
360 2xpi

Cross-multiply and isolate your variable.

Good luck.

Paul

The radius or the volume of the space?

About 146 and a half degrees.

If this is homework, make sure to show your work.

About 146 and a half degrees.

If this is homework, be sure to show your work.

You can not do it unless you know the measure of the central angle sustending (supporting) the arc. If the angle is known, you use the proportionality relation that follows:
If angle is in degrees
(length of arc) / circumference=(measure of central angle sustending arc)/360.
Here the circumference is 2*PI*radius.

If angle is in radians , the relation is somewhat simpler,
arc length= (radius length)* (angle measure in radians)
It is clear that in the last relation, the unit for the arc length is the same as the unit for the radius.

Hello and Welcome to FixYa!
Area of pizza (Combined Bread + Crust) = Area=pie * (radius)^2. If divided in 8 equal parts, Area of 1 piece=Area/8.
Area= 3.1415* (0.1524)^2 Area of 1 slice= Area/8 Concerned.

A regular hexagon is made up of six equilateral triangles. This means that the length of any one side of the hexagon is equal to the radius.

If an arc is 4╥, it is 12.56.
You can use 12.56 as a starting point and figure out what circumference that is 40° of.

Circumference = 2 • π • radius = π • diameter

Reverse this and you will have your answer.

Hi,
The arc length can be obtained by:

(pi x r x Angle) / 180

or

(3.1415 x 5 x 30) / 180 = 2.618 in.

Hope this helps...