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?

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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) About Me  (Show Source):
You can put this solution on YOUR website!
Drew picture not shown here, distance from center to the chord, 2sqrt%2811%29. See a right triangle, hypotenuse 12 same as radius, leg 10 units.

An angle measure betwen the described distance and the hypotenuse, arctan%2810%2F%282sqrt%2811%29%29%29; and you want TWICE this angle: 112.88 degrees.

The major arc is 247.11 degrees.

Answer by MathTherapy(10552) About Me  (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 = highlight_green%28matrix%281%2C3%2C+2%2856.44%29%2C+%22=%22%2C+112.88%5Eo%29%29