Find the radius of a circle which a 59-foot chord subtends an angle of 12degrees at the center.
I Just Want To See The Illustration. I Can Handle The Rest. Thank You In Advance =)
Connecting the center of the circle with the 2 ends of the chord makes an isc.. triangle.
Half of that is a right triangle. The angle at the center of the circle is 39.1º and 1/2 the chord is 59.2 cm.
59.2 = r*sin(12/2)
solve for r.
To find the radius of the circle, we can use the formula relating the length of the chord, the radius of the circle, and the angle subtended by the chord at the center:
r = (s)/(2sin((θ/2))),
where r is the radius of the circle, s is the length of the chord, and θ is the angle subtended by the chord.
In this case, the length of the chord (s) is given as 59 feet, and the angle subtended at the center (θ) is 12 degrees. Plugging these values into the formula:
r = (59) / (2sin((12/2))).
We can now calculate the value of r.
Since you mentioned that you would like to see the illustration, unfortunately, text-based platforms do not support visual images. However, I can provide a step-by-step explanation on how to solve this geometry problem.