# math

Whats the difference between an arc [of a circle]'s length and measure? And how do you find each of them?

The "measure" of an arc is the angle that it subtends from the center of the circle. Call that angle A.

The length of the arc is
2 pi R * [A/(2 pi)] = R*A, if A is in radians and R is the radius of the circle, or pi R*A/180, if A is measured in degrees.

Emily think of a pizza that has been cut into 8 equal pieces, and look at one of those pieces.

The arc measure would be the angle that your piece of pizza has as its point, in this case 45º
The arc length would be the length of the curved part of your pizza slice, in this case 1/8 the circumference of the pizza
(remember C=2*pi*r)

1. 👍
2. 👎
3. 👁
1. 6.3

1. 👍
2. 👎

## Similar Questions

1. ### math

in circle p below the lengths of the parallel chords are 20,16, and 12. Find measure of arc AB..... the chord with a length of 20 is the diameter. the chords with lengths 16 and 12 are below the diameter torwards the bottom of the

1. ### Geometry

A circle has a radius of 3 an arc in this circle has a central angle of 20 degrees what is the length of the arc

2. ### Geometry

The question is to find the measure of arc PQ in Circle A. The point A is the center of the circle, and the chords PR and SQ intersect at the center. Arc PQ is (3y-10), while arc SR is (2y+20). I know there's a theorem that states

3. ### Geometry

in circle p below the lengths of the parallel chords are 20,16, and 12. Find measure of arc AB..... the chord with a length of 20 is the diameter. the chords with lengths 16 and 12 are below the diameter torwards the bottom of the

4. ### pre calculus

A central angle θ in a circle of radius 8 m is subtended by an arc of length 9 m. Find the measure of θ in degrees. (Round your answer to one decimal place.) θ = ° Find the measure of θ in radians. (Round your answer to two

1. ### geometry

The radius of a circle is 6cm and the arc measurement is 120 degrees, what is the length of the chord connecting the radii of the arc?

2. ### Math

The measure of an angle formed by two secants intersecting inside the circle equals a.½ the sum of the intercepted arcs b.½ the difference of the intercepted arcs c.½ the measure of the intercepted arc I need help please!

3. ### trigonometry

Find the length of the arc that subtends an angle of measure 70 degrees on a circle of diameter 15 centimeters.

4. ### Geometry

Points $A$ and $B$ are on a circle centered at $O$, and point $P$ is outside the circle such that $\overline{PA}$ and $\overline{PB}$ are tangent to the circle. If $\angle OPA = 32^{\circ}$, then what is the measure of minor arc