Areas of Polygons and Circles Chapter 11 Areas of Polygons and Circles

11.1 Areas of Parallelograms The height is always perpendicular to the base b A = bh h l A =lw w A = s2 s

11.1 Areas of Parallelograms Find the perimeter and area of

11.1 Areas of Parallelograms Find the perimeter and area of

11.1 Areas of Parallelograms Find the area of

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

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

11.2 Areas of Triangles h b A = bh h b

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

11.2 Areas of Triangles 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 b1 A = h(b1+b2) h b2 median A =h x median h

11.2 Areas of Trapezoids Find the area of the trapeziod.

11.2 Areas of Trapezoids Find the area

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

11.2 Areas of Rhombi A = d1d2 d1 d2

11.2 Areas of Rhombi Find the area of the rhombus.

11.2 Areas of Rhombi 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 to get the apothem Substitute and solve a * A = Pa a * a = apothem

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

11.3 Areas of Regular Polygons Find the area of the regular hexagon. Round to the nearest tenth.

11.3 Areas of Regular Polygons Find the area of the regular pentagon. Round to the nearest tenth.

11.3 Areas of Circles and Sectors

11.3 Areas of Circles and Sectors Find the area of the circle. Round to the nearest tenth.

11.3 Areas of Circles and Sectors Find the area of the semi-circle. Round to the nearest tenth.

11.3 Areas of Circles and Sectors 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?

11.4 Composite Figures Find the area of the shaded figure.

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

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

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

11.4 Composite Figures 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 Area of region you want Probability = Area of whole shape/region

11.5 Geometric Probability and Areas of Sectors Find the area of the sector. Round to the nearest tenth.

11.5 Geometric Probability and Areas of Sectors 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?

11.5 Geometric Probability and Areas of Sectors 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?