Chapter 11 Areas of Polygons and Circles. 11.1 Areas of Parallelograms  The height is always perpendicular to the base h b w l A = bh A =lw A = s 2 s.

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Presentation transcript:

Chapter 11 Areas of Polygons and Circles

11.1 Areas of Parallelograms  The height is always perpendicular to the base h b w l A = bh A =lw A = s 2 s

Find the perimeter and area of

Find the area of

Find the area of the figure. Round to the nearest tenth if necessary.

Find the height and base of the parallelogram if the area is 168 square units.

11.2 Areas of Triangles h b b h A = bh

Find the area of the figure. Round to the nearest tenth if necessary.

The height of a triangle is 12 inches more than its base. The area of the triangle is 560 square inches. Find the base and the height.

11.2 Areas of Trapezoids h a b h median A = h(a+b) A =h x median

Find the area of the trapeziod.

Find the area

Trapezoid QRST has an area of 210 square yards. Find the height of QRST.

11.2 Areas of Rhombi A = d 1 d 2 d1d1 d2d2

Find the area of the rhombus.

One diagonal of a rhombus is half as long as the other diagonal. If the area of the rhombus is 64 square inches, what are the lengths of the diagonals?

11.3 Areas of Regular Polygons  Write the formula  Try to find the Perimeter  Find the # of degrees in the shape Divide by the # of sides Divide by 2*  Use sin-cos-tan or / rules to get the apothem and possibly the part of the side for the polygon  Substitute and solve a a * * A = Pa a = apothem

What is the area of an octagon with an apothem length of 14 inches? Round to the nearest tenth if necessary.

Find the area of the regular hexagon. Round to the nearest tenth.

Find the area of the regular pentagon. Round to the nearest tenth.

11.3 Areas of Circles and Sectors r A = ∏r 2

Find the area of the circle. Round to the nearest tenth.

Find the area of the semi-circle. Round to the nearest tenth.

Find the radius of a circle with an area of 58 square inches.

11.4 Composite Figures POOL The dimensions of an irregularly shaped pool are shown. What is the area of the surface of the pool?

Find the area of the shaded figure.

Find the area of the figure in square feet. Round to the nearest tenth if necessary.

Find the area of the figure. Round to the nearest tenth if necessary.

Find the area of the shaded region. Assume that the polygon is regular. Round to the nearest tenth.

11.5 Geometric Probability and Areas of Sectors r A = ∏r 2 Probability = Area of region you want Area of whole shape/region

Find the area of the sector. Round to the nearest tenth.

A pie has a diameter of 9 inches and is cut into 10 congruent slices. What is the area of one slice to the nearest hundredth?

A pizza has a diameter of 14 inches and is cut into 8 congruent slices. What is the area of one slice to the nearest hundredth?