### What is the relation between the arc length and angle for a sector of a circle?

A sector is the area enclosed by two radii of a circle and their intercepted arc, and the angle that is formed by these radii, is called a central angle. A central angle is measured by its intercepted arc. It has the same number of degrees as the arc it intercepts. For example, a central angle which is a right angle intercepts a 90 degrees arc; a 30 degrees central angle intercepts a 30 degrees…

### The measure of an angle formed by two secants intersecting outside the circle equals?

The measure of the angle formed by two secants intersecting outside the circle is one-half the difference of the intercepted arcs. Example: Major intercepted arc is 200o and the minor intercepted arc is 120o. 1/2 (200-120) = 40o ... The measurement of the angle formed by the two secants is 40o. I HOPE THIS CAN HELP YOU :))

### What is the parallax of distance of 1 parsec?

By definition, if the parallax is one arc-second (1/3600 of a degree), the distance is one parsec. By definition, if the parallax is one arc-second (1/3600 of a degree), the distance is one parsec. By definition, if the parallax is one arc-second (1/3600 of a degree), the distance is one parsec. By definition, if the parallax is one arc-second (1/3600 of a degree), the distance is one parsec.

### How do you work out angles in a semi-circle?

An inscribed angle is an angle formed by two chords in a circle which have a common endpoint. This common endpoint forms the vertex of the inscribed angle.The other two endpoints define an intercepted arc on the circle Any angle inscribed in a semi-circle is a right angle. The proof is simply that the intercepted arc is 180 so the angle must be half of that or 90 degrees.

### A central angle of a circle of radius 30 cm intercepts an arc of 6 cm Express the central angle in radians and in degrees?

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…

### Formula for inscribed angles of a circle?

An In An Inscribed Angle's vertex lies somewhere on the circle sides are chords from the vertex to another point in the circle creates an arc , called an intercepted arc The measure of the inscribed angle is half of measure of the intercepted arc scribed Angle'sAn Inscribed Angle's vertex lies somewhere on thecircle sides arechordsfrom the vertex to another point in thecircle creates anarc, callFormula: ABC = ½ ed an interceptedarc The measure of…

### How do you work out the circumference of a circle using radius?

The formula for calculating the circumference of a circle is 2πr, where r is the radius of the circle and π is 3.1415926535890793 - usually shorted to either 3.1416 or 3.14 So that the circumference of a circle with a radius of 10 units is 62.83 units There are pi radians in a half of a circle. Thus, the measure of a central angle which is a straight line is pi radians. We have a…

### Find Length of an arc of circle when measure of arc is 50 and radius is 3.5?

We have a formula of finding the arc length, s = θr, where s is the length of the intercepted arc, θ is the central angle measured in radians, and r is the radius of the circle. So that we need to convert 50 degrees in radians. 1 degrees = pi/180 radians 50 degrees = 50(pi/180) radians = 5pi/18 radians s = θr (replace θ with 5pi/18, and r with 3.5) s = (5pi/18)(3.5) =…

### What is the length of the arc on a circle of radius r equals 5 yards intercepted by a central angle theta equals 70 degrees?

To work out the length of the arc on a circle, you need to work out the proportion of the full circle that the arc represents. This is the proportion of the circumference of the circle. The circumference of a circle is 2 times pi times radius or 2{pi}r A full circle has 360o so an arc created between 2 radii with an angle of ao between them has a length that is a/360 that…