Tag Archives: chord

Arc of a Circle

is a diameter of a circle of radius unit. is a chord perpendicular to that cuts at . If the arc is of the circumference of the circle, what is the length of the segment ? Source: NCTM Mathematics Teacher, … Continue reading

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Concentric Circles

The circles in the figure are concentric. The chord is tangent to the inner circle and has length . What is the area of the non-shaded region? Source: NCTM Mathematics Teacher, November 2006 SOLUTION area of large circle = area … Continue reading

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Going Around in Circles

If we pick any two distinct points on a circle, and connect them with a chord, the chord will divide the interior of the circle into two distinct, nonintersecting regions. If we pick three distinct points on a circle and … Continue reading

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Three Circles

In the figure below, 3 equal circles have been drawn so that each one passes through the centers of the other two. Is the area of overlap of the three triangles more or less than a quarter of the area … Continue reading

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Petal

The hex sign below is made up entirely of circles 1 inch in radius. Can you calculate the area of each of the petal-shaped areas? Source: Julia Robinson Mathematics Festival SOLUTION The above figure displays a petal in close-up. Since … Continue reading

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Chord and Diameter

The given semicircle has a diameter of 8 inches (segment ). Chord is half the length and parallel to diameter . Find the distance from the midpoint of chord to the midpoint of diameter . Source: mathcontest.olemiss.edu 1/21/2008 SOLUTION Let … Continue reading

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