Good runners take more steps per second as they speed up. Here are the average numbers of steps per second of top female runners at different speeds. The speeds are in feet per second. Speed (ft/s) 15.50 16.60 17.44 18.80 19.64 21.25 22.48 Steps per second 3.00 3.11 3.17 3.25 3.35 3.45 3.53 (a) You want to predict steps per second from running speed. Make a scatterplot of the data with this goal in mind. (Do this on paper. Your instructor may ask you to turn in this graph.) (b) Describe the pattern of the data and find the correlation. O There is a strong positive linear relationship. O There is a weak negative linear relationship. O There is a weak positive linear relationship. O There is a strong negative linear relationship.

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Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.