SOLUTION: A 20-inch chord is drawn in a circle with a 12-inch radius. What is the angular size of the minor arc of the chord? What is the length of the arc, to the nearest tenth of an inch?

Question 1158589: A 20-inch chord is drawn in a circle with a 12-inch radius. What is the angular size of the minor arc of the chord? What is the length of the arc, to the nearest tenth of an inch?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Drew picture not shown here, distance from center to the chord, . See a right triangle, hypotenuse 12 same as radius, leg 10 units.

An angle measure betwen the described distance and the hypotenuse, ; and you want TWICE this angle: 112.88 degrees.

The major arc is 247.11 degrees.
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!

A 20-inch chord is drawn in a circle with a 12-inch radius. What is the angular size of the minor arc of the chord? What is the length of the arc, to the nearest tenth of an inch?

Therefore, central ∡ = minor arc =
RELATED QUESTIONS
Drawn in a circle whose radius is 12 cm, chord AB is 16 cm long. Calculate the angular... (answered by mananth,MathTherapy)
what is the radius of a circle in which a chord 10 inches long is 1 inch from the... (answered by mananth,ikleyn)
In a circle with a 12-inch radius, find the length of a segment joining the midpoint of a (answered by josgarithmetic,MathTherapy)
If a chord 10 inches long is 5 inches from the center of a circle, what is the radius of... (answered by ankor@dixie-net.com)
There is a circle with a 16 inch chord. The midpoint of the chord is 6 inches from the... (answered by galactus,biggstry)
A 48 inch chord is 8 inches closer to the center of a circle then a 40 inch chord. Find... (answered by Edwin McCravy)
What is a circle, Radius, Diameter, Arc, semicircle, Minor arc, major arc,... (answered by Edwin McCravy)
A chord of length 12 cm is drawn in a circle of radius 8 cm. How far is the chord form... (answered by ikleyn)
In a circle whose radius is 15 inches, a chord is 12 inches from the center, what is the... (answered by Alan3354)