Larson Chapter 6.7 and 11

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Last updated 12:48 AM on 3/31/26
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30 Terms

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Area of a square

A=s²

<p>A=s²</p>
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Area of a rectangle

A=bh or A=lw

<p>A=bh or A=lw</p>
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Area of a parallelogram

A=bh

<p>A=bh</p>
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Area of a triangle

A=1/2bh

<p>A=1/2bh</p>
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Area of an equlateral triangle with side s

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Area of a trapezoid

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Area of a rhombus/kite

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Regular polygon

a polygon that is both equilateral and equiangular

<p>a polygon that is both equilateral and equiangular</p>
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Sum of Interior angles of a convex polygon

Sum = 180(n-2), where n is the number of sides.

<p>Sum = 180(n-2), where n is the number of sides.</p>
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Measure of ONE interior angle of a REGULAR polygon

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Sum of Exterior angles of a convex polygon

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Measure of ONE exterior angle of a REGULAR polygon

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30-60-90 Triangle Theorem

In a 30°-60°-90° triangle, the hypotenuse is twice as long as the short leg, and the long leg is √3 times as long as the short leg

<p>In a 30°-60°-90° triangle, the hypotenuse is twice as long as the short leg, and the long leg is √3 times as long as the short leg</p>
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45-45-90 Triangle Theorem

In a 45°-45°-90° triangle, the hypotenuse is √2 times as long as each leg.

<p>In a 45°-45°-90° triangle, the hypotenuse is √2 times as long as each leg.</p>
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The Apothem of a Regular polygon is

a perpendicular segment that is drawn from the center of a regular polygon to a side of the polygon

<p>a perpendicular segment that is drawn from the center of a regular polygon to a side of the polygon</p>
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The Radius of a Regular polygon is

the distance from the center to a vertex.

<p>the distance from the center to a vertex.</p>
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Central Angle of a polygon

an angle formed by two radii drawn to consecutive vertices of the polygon

<p>an angle formed by two radii drawn to consecutive vertices of the polygon</p>
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Area of a Regular polygon

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SOHCAHTOA

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Perimeters of Similar Polygons

If a:b is the scale factor of 2 similar polygons, then the ratio of their perimeters is a:b.

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Areas of Similar Polygons

If a:b is the scale factor of 2 similar polygons, then the ratio of their areas is a²:b².

<p>If a:b is the scale factor of 2 similar polygons, then the ratio of their areas is a²:b².</p>
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Circumference

the distance around a circle

<p>the distance around a circle</p>
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Circumference of a circle

C=2πr or C=πd

<p>C=2πr or C=πd</p>
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Length of an arc of a circle

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Area of a circle

A=πr²

<p>A=πr²</p>
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Sector of a circle

the region bounded by two radii of a circle and the included arc.

<p>the region bounded by two radii of a circle and the included arc.</p>
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Area of a Sector of a circle

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Segment of a circle

is the region between a chord of a circle and the included arc.

<p>is the region between a chord of a circle and the included arc.</p>
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Area of a Segment of a Circle

Area of a sector - Area of a triangle

<p>Area of a sector - Area of a triangle</p>
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Probability that a point will lie in the shaded region

is the ratio of the area of the shaded region to the area of the whole region.

<p>is the ratio of the area of the shaded region to the area of the whole region.</p>