Yes, as long as you know the angle of the arc (between the two radii at its ends at the centre of the arc):
arc_length = radius x angle_of_arc_in_radians
→ radius = arc_length ÷ angle_of_arc_in_radians
To convert between degrees and radians:
radians = π x degrees ÷ 180°
→ degrees = 180° x radians ÷ π
You can use the cosine rule and the three lengths of the triangle to find the central angle X, (in radians). Then the length of the arc is r*X units.
Use the formula for the area of a circular sector, and solve for the angle.For a circular sector: area = radius squared times angle / 2 (Note: The angle is supposed to be expressed in radians; and in this specific problem, there is no need to convert it to degrees.) Since you know the area and the radius (according to the comments added to this question), you can solve for the angle. Once you know the angle (in radians!), the arc length is simply angle x radius.
The arcs are 59.31 cm and 3.49 cm.
A radius gauge takes the guesswork out of designing or duplicating a part, no matter what size. Arc Master Radius Gauges
Converting degrees to meters involves understanding the relationship between angles and arc length on a circle. Since one degree is equal to 1/360th of a full circle, you can use this ratio to convert degrees to radians by multiplying the degree measure by π/180. To convert radians to meters, you would need to know the radius of the circle. The formula to convert radians to arc length is arc length = radius x angle in radians.
You can use the cosine rule and the three lengths of the triangle to find the central angle X, (in radians). Then the length of the arc is r*X units.
you must know the radius also. Then use the formula arc = 2 x 3.14 x radius x angle / 360
if you have the diameter or the arc, then you can divide the diameter by two, or you can use the arc to calculate it.
An angle is measurement use to tell the distance between two lines that are concurrent at a point. An arc is the length of a curve drawn with a unchanging distance (radius length) around a point..
Use the formula for the area of a circular sector, and solve for the angle.For a circular sector: area = radius squared times angle / 2 (Note: The angle is supposed to be expressed in radians; and in this specific problem, there is no need to convert it to degrees.) Since you know the area and the radius (according to the comments added to this question), you can solve for the angle. Once you know the angle (in radians!), the arc length is simply angle x radius.
Use the information you have to find it. -- divide the length of the arc by the total circumference of the circle, or -- divide the central angle of the arc by 360 degrees (a full circle)
A central angle is measured by its intercepted arc. Let's denote the length of the intercepted arc with s, and the length of the radius r. So, s = 6 cm and r = 30 cm. When a central angle intercepts an arc whose length measure equals the length measure of the radius of the circle, this central angle has a measure 1 radian. To find the angle in our problem we use the following relationship: measure of an angle in radians = (length of the intercepted arc)/(length of the radius) measure of our angle = s/r = 6/30 = 1/5 radians. Now, we need to convert this measure angle in radians to degrees. Since pi radians = 180 degrees, then 1 radians = 180/pi degrees, so: 1/5 radians = (1/5)(180/pi) degrees = 36/pi degrees, or approximate to 11.5 degrees.
You can use the formula where s is the arc lenth, then s=r(theta) where theta is the angle in radians subtended by the arc (radian is ratio of arc length to radius) If you want to use degrees, you can either convert your central angle to degrees or use s=2Pi(r)theta/360 Once again, theta is the central angle, r is the radius, Pi is good to eat if you put an e on the end, otherwise it is about 3.14159, and s is the angle of the arc which you are looking for!
The arcs are 59.31 cm and 3.49 cm.
All you've told us is that 40 cm is less than 1/2 of the circumference. With that information, all we know is that the circumference is more than 80 cm. We could calculate it if we knew what the angle is at the center of circle between the two radii (radiuses) that go to the ends of arc AB. We're guessing that it's there in your book, but you forgot to include it when you decided to ask us to do your homework problem for you.
Find the degree measure of the angle subtended at the centre of a circle of radius 100 cm by an arc of length 22 cm. (Use pi = 22/7 )
A radius gauge takes the guesswork out of designing or duplicating a part, no matter what size. Arc Master Radius Gauges