Worksheet

Area of a regular polygon

Grade 10 Math Worksheet - Building Confidence

NameDate

Circle the best answer, or write your answer on the line.

  1. Ari's clock face is a regular octagon with center O. C and D are corners next to each other, and F is the midpoint of CD. Which segment is the apothem?

    • CF
    • OF
    • CD
    • OC

  2. Bo's stepping stone is a regular pentagon with center O. C and D are corners next to each other, and F is the midpoint of CD. Which segment is the apothem?

    • CF
    • CD
    • OC
    • OF

  3. Esme's paper badge is a regular decagon with center O. C and D are corners next to each other, and F is the midpoint of CD. Which segment is the apothem?

    • CF
    • OF
    • OC
    • CD

  4. Jun's window is a regular dodecagon with center O. C and D are corners next to each other, and F is the midpoint of CD. Which segment is the apothem?

    • CF
    • CD
    • OC
    • OF

  5. Kira's regular hexagon floor tile is made of 6 equilateral triangles with 10 cm sides. OF goes from center O to F, the midpoint of side CD. How long is OF, as a simplified radical?

  6. Luz's regular hexagon quilt patch is made of 6 equilateral triangles with 16 cm sides. OF goes from center O to F, the midpoint of side CD. How long is OF, as a simplified radical?

  7. Milo's regular hexagon mirror is made of 6 equilateral triangles with 26 cm sides. OF goes from center O to F, the midpoint of side CD. How long is OF, as a simplified radical?

  8. Noah's regular hexagon stepping stone is made of 6 equilateral triangles with 20 cm sides. OF goes from center O to F, the midpoint of side CD. How long is OF, as a simplified radical?

  9. Pia cuts a regular pentagon paper sticker into 5 equal triangles from its center O. Each has base 8 cm and height 5.5 cm. What is the paper sticker's area, in square centimeters?

  10. Tala cuts a regular decagon plate into 10 equal triangles from its center O. Each has base 6 cm and height 9.2 cm. What is the plate's area, in square centimeters?

PencilGopencilgo.com

Area of a regular polygon

Answer Key - Grade 10 Math Worksheet - Building Confidence

Circle the best answer, or write your answer on the line.

  1. Ari's clock face is a regular octagon with center O. C and D are corners next to each other, and F is the midpoint of CD. Which segment is the apothem?

    • CF
    • OF
    • CD
    • OC

  2. Bo's stepping stone is a regular pentagon with center O. C and D are corners next to each other, and F is the midpoint of CD. Which segment is the apothem?

    • CF
    • CD
    • OC
    • OF

  3. Esme's paper badge is a regular decagon with center O. C and D are corners next to each other, and F is the midpoint of CD. Which segment is the apothem?

    • CF
    • OF
    • OC
    • CD

  4. Jun's window is a regular dodecagon with center O. C and D are corners next to each other, and F is the midpoint of CD. Which segment is the apothem?

    • CF
    • CD
    • OC
    • OF

  5. Kira's regular hexagon floor tile is made of 6 equilateral triangles with 10 cm sides. OF goes from center O to F, the midpoint of side CD. How long is OF, as a simplified radical?

    5√3

  6. Luz's regular hexagon quilt patch is made of 6 equilateral triangles with 16 cm sides. OF goes from center O to F, the midpoint of side CD. How long is OF, as a simplified radical?

    8√3

  7. Milo's regular hexagon mirror is made of 6 equilateral triangles with 26 cm sides. OF goes from center O to F, the midpoint of side CD. How long is OF, as a simplified radical?

    13√3

  8. Noah's regular hexagon stepping stone is made of 6 equilateral triangles with 20 cm sides. OF goes from center O to F, the midpoint of side CD. How long is OF, as a simplified radical?

    10√3

  9. Pia cuts a regular pentagon paper sticker into 5 equal triangles from its center O. Each has base 8 cm and height 5.5 cm. What is the paper sticker's area, in square centimeters?

    110

  10. Tala cuts a regular decagon plate into 10 equal triangles from its center O. Each has base 6 cm and height 9.2 cm. What is the plate's area, in square centimeters?

    276