Prentice Hall Geometry
  1. The circumference of a circle is 26 pi  in. What is its area? Leave your answer in terms of pi .
  2. In a circle, a 90 degrees  sector has area 36 pi . in , . squared , .  What is the radius of the circle?
  3. Open-Ended Draw a circle and a sector so that the area of the sector is 16 pi . , cm squared , .  Give the radius of the circle and the measure of the sector's arc.
  4. A method for finding the area of a segment determined by a minor arc is described in this lesson.
    1. Writing Describe two ways to find the area of a segment determined by a major arc.
    2. If m , modified eh b with frown above . equals 90  in a circle of radius 10 in., find the areas of the two segments determined by modified eh b with frown above

Find the area of the shaded segment to the nearest tenth.

  1. A circle has two radius lines of 9 feet. A line connecting the ends of the radii forms a 45 degree with them. The segment between the line and the arc is shaded.
  2. A circle has two radius lines of 7 meters, with larger arc 300 degrees with a shaded segment between the smaller arc and a line connecting the radii.
  3. A circle with diameter 16 inches has three radius lines. Two radii are 60 degrees apart. The segment between the other arc and a segment connecting two of the radii is shaded.

C Challenge

Find the area of the shaded region. Leave your answer in terms of pi .

  1. A circle has two radius lines of 2 feet and arc 75 degrees, with a shaded segment between the arc and a line connecting the radii.
  2. A shaded circle is a circumscribed around a hexagon with congruent angles and sides and a radius of 7 meters.
  3. A shaded square with sides 10 meters has arcs bowing toward the bottom left and top right vertices between the bottom right and top left vertices.
  4. Recreation An 8 ft-by-10 ft floating dock is anchored in the middle of a pond. The bow of a canoe is tied to a corner of the dock with a 10-ft rope, as shown in the picture below.
    1. Sketch a diagram of the region in which the bow of the canoe can travel.
    2. What is the area of that region? Round your answer to the nearest square foot.

A rectangular dock has a rope from its top right vertex extending down to the right to the bow of a canoe.


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Table of Contents

Prentice Hall Geometry Chapter 1 Tools of Geometry Chapter 2 Reasoning and Proof Chapter 3 Parallel and Perpendicular Lines Chapter 4 Congruent Triangles Chapter 5 Relationships Within Triangles Chapter 6 Polygons and Quadrilaterals Chapter 7 Similarity Chapter 8 Right Triangles and Trigonometry Chapter 9 Transformations Chapter 10 Area Chapter 11 Surface Area and Volume Chapter 12 Circles Skills Handbook Reference Visual Glossary Selected Answers Index Acknowledgments