Quiz-Tree

Medium - Quiz 1

Step up to sector areas, arc length in radians, the inscribed angle theorem, completing the square, and tangent line reasoning.

Question 1 of 5
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Question 1
A circle has a radius of 6 centimeters. What is the area of a sector with a central angle of 120°?
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A circle has a radius of 9 meters. What is the length of an arc subtended by a central angle of \(\dfrac{2\pi}{3}\) radians?
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An inscribed angle in a circle intercepts an arc of 140°. What is the measure of the inscribed angle?
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What are the center and radius of the circle defined by the equation \(x^2 + y^2 + 6x - 4y - 12 = 0\)?
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A circle is centered at the origin with radius 5. A line is tangent to the circle at the point \((3, 4)\). What is the slope of the tangent line?
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