# 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. 👍 0
2. 👎 0
3. 👁 194
1. 6.3

1. 👍 0
2. 👎 0
posted by jevari

## Similar Questions

1. ### apex geometry

Hannah constructed two similar circles as seen in the image below. If the arc length of the larger circle is , which of the following would be true? A. The arc length of the smaller circle is proportional to the radius of the

asked by zakiya on January 8, 2016
2. ### algebra

The area of a circle is 78.5 square centimeters, and a subtending arc on the circle has an arc length of 6pi. The estimated value of is 3.14. what is the measure of the angle subtended by the arc in degrees?

asked by Anonymous on November 19, 2015

a) Determine the measure of the central angle that is formed by an arc length of 5 cm in a circle with a radius of 2.5cm. Express the measure in both radians and degrees, correct to one decimal place. b) Determine the arc length

asked by ashley on July 24, 2012
4. ### Math

I think this will be the last one. Find the radius of circle C if the measure of anglePQR=24° and the length of arc PR is 8pi. Answers: a.15 b.20 c.30 d.60 e.45 The diagram looks like a circle with its center at C. At a point on

asked by Anonymous on September 4, 2009
5. ### geometry

If the arc on a particular circle has an arc length of 14 inches, and the circumference of the circle is 84 inches, what is the angle measure of the arc?

asked by Anonymous on April 4, 2011
6. ### geometry

If the arc on a particular circle has an arc length of 14 inches, and the circumference of the circle is 84 inches, what is the angle measure of the arc?

asked by Superman on July 12, 2010
7. ### geometry

Circle O above has a circumference of 240 cm and arc XW has a length of 60 cm. What is the measure of the central angle associated with arc XW?

asked by jake on March 6, 2011
8. ### Math rem

2.Find the length of the arc in a circle if the radius of the circle is 24cm and the degree of the arc is 90o 3.Find the length of the arc if a circle if the degree if the arc is 120o and the length of the radius is 8cm. 4. A

asked by bs on February 11, 2013
9. ### math

The measure of the arc created by a central angle is 57°. What type of arc is this? minor arc major arc semi-circle

asked by imili on June 8, 2018
10. ### 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

asked by Nikki on April 1, 2008

More Similar Questions