A 30-inch chord in a circle is 8 inches from the center of the circle, as shown in the following figure.
1 answer:
Answer:
17 inches
Step-by-step explanation:
See the attached image. Connect the center of the circle to one endpoint of the chord. That forms a right triangle because the radius is drawn perpendicular to the chord -- that's how the distance from center to chord is measured.
The radius splits the chord into two equal parts, each 15 inches long.
The right triangle has legs 8 and 15, so use the Pythagorean Theorem.
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Answer:
No graph so we'll use the quadratic formula
x^2+x-4=0
a = 1
b = 1
c = -4
x = -1 +- sqr root (1^2 - 4 * 1 * -4) / 2
x = (-1 +- sqr root (1 +16) ) / 2
x1 = (-1 + sqr root (17)) / 2
x2 = (-1 - sqr root (17)) / 2
Step-by-step explanation:
