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Graph and Write Equations of Circles
Notes 9.3 (Day 2) Graph and Write Equations of Circles
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Write the standard form of the equation of the circle with the given radius and whose center is the origin. r = 10 r = 4
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Write the equation of a circle given a center point and a point on the circle.
Step 1: Find the distance between the center point and the given point. (use the distance formula) Step 2: Insert the centerpoint and radius length into the given equation Step 3: Simplify
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Write the standard form of the equation of the circle that passes through the given point and whose center is the origin.
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Write the standard form of the equation of the circle that passes through the given point and whose center is the origin.
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Write the standard form of the equation of the circle that passes through the given point and whose center is the origin.
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Tangent Line: -Crosses a circle at exactly one point
-Is perpendicular to a radius at that point
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Write the equation of a line tangent to a circle at the given point.
Step 1: Find the slope of the segment connecting the center point and given point of the circle. Step 2: Take the opposite reciprocal of the slope (perp. Lines have opp. Reciprocal slopes) Step 3: Plug in the point and slope into the equation of a line Step 4: Solve for the (b) value. Step 5: write the equation of the line.
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Write the equation of a line tangent to the circle at the given point.
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Write the equation of a line tangent to the circle at the given point.
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Write the equation of a line tangent to the circle at the given point.
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Homework: P , 31-42, 53-58
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