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[DOC File]Deriving a formula for finding the area of a circle
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Students will work individually or in groups to derive the formula for the area of a circle. Objective: Learners will form a parallelogram by partitioning a circle and relate . A = bh. to . A = r2. Keywords: Area, height, base, perimeter, circumference, diameter, radius, sector. Materials:
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[DOC File]Summary of Lesson Lab: CIRCLES
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Given (h, k) as the center of a circle, (x, y) as a point on the circle, and using the distance formula to find the radius, write the equation for a circle. (Eliminate the radical.) Guided Practice (algebraic) Write the standard equation of a circle with the given conditions: 1. center (0, 0); radius = 4 2.
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[DOC File]The Unit Circle - Simple Trigonometry
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Also, recall the formula that relates arclength to radian measure of an angle: s=r ( where s = arclenght, r = radius and ( = angle in radians. A circle is centered at the origin with radius 2. A ray of angle 120 degrees is drawn, intersecting the circle at point Q. Find Q's coordinates. The coordinates of Q are .
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[DOC File]The curvature of a circle is the reciprocal of its radius
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The radius of circle D is _____ and the curvature of circle D is _____. In 1643, French mathematician Rene Descartes developed a formula relating the curvatures of four circles that all touch, or are tangent, to each other. Descartes’ Circle Equation Theorem:
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[DOC File]Section I: Chapter 1: Unit Circle, Radians, and Arc Length
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Of course, the arc-length of an entire circle is the circumference of the circle; recall that that circumference, c, of a circle is given by the formula where r is the radius of the circle. Thus, the circumference of the unit circle (i.e., arc-length of the complete unit circle) is units.
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[DOC File]CIRCUMFERENCE OF A CIRCLE
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Choose one radius, trace over it with an orange pencil, and label it “radius.” RADIUS AND DIAMETER. Using the circle we marked with radius and the diameter, make a prediction about how many of the radii would equal the diameter of the circle. We can use a string to measure the radius of the circle and then the diameter. Let’s measure!
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[DOC File]Worksheet on Equations of Circles
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Since the radius is constant and the center is equi- distant from all points on the circle, then we can apply our distance formula to develop an equation for the circle. If a circle has a radius of . r. and center coordinates of ( h , k ), and any point on the circle has coordinates of ( …
radius of a circle calculator

Radius of a circle formula