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2.4: Exercises

  • Page ID
    109872
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    1. Classify the angle below as acute, obtuse, or right.

    clipboard_ea48ccb13e941befbd2514bbc79d4cc9b.png

    2. Classify the angle below as acute, obtuse, or right.

    clipboard_e235838468eb6c298b4ad1aa77c0ee428.png

    3. Classify the angle shown as Acute, Obtuse, or Right

    clipboard_ebc186a3bcf36db228d1c241ee08a2491.png

    4. Use the picture below to answer the following questions. Note, ∠COD is a right angle.

    clipboard_e6387442895240094d68bc05f07439e3f.png

    a) Which angle is supplementary to ∠BOC?

    b) Which angle is complementary to ∠BOC?

    c) What is the measure of ∠EOF?

    d) What is the measure of ∠AOE?

    e) What is the measure of ∠BOF?

    5. Find the unknown angle measure.

    clipboard_e7c47560535ebea783537bc5c2b4a87b6.png

    6. Find the unknown angle measure.

    clipboard_e96ad887a484844449f3c3fb2bb87b2d6.png

    7. Find the unknown angle measure.

    clipboard_e52a2458dda7a98fb443dcd0c7fc72b2c.png

    8. Find the unknown angle measure.

    clipboard_e2e0e98562bd4605cb192192ffda31863.png

    9. Find the unknown angle measures.

    clipboard_e7f07e49345e1049790c529a2a443aca0.png

    10. Find the unknown angle measure.

    clipboard_ef1763d273ab3d9f5a1b5d1981dcb6454.png

    11. Find the length of the hypotenuse of the given right triangle pictured below. Round to two decimal places.

    clipboard_e140963f309a15b859842e57f7b2232ce.png

    12. Find the length of the leg \(x\). Enter the exact value, not a decimal approximation.

    clipboard_e56fe15ceef9a1fc945f9a13b74cc303a.png

    13. Find the perimeter of the figure pictured below.

    clipboard_e4aefdfbeb68951c9330644097190bb28.png

    14. Find the perimeter of the rectangle pictured below.

    clipboard_e56c02341f1a23097a7ef27fb8ab287bd.png

    15. Find the perimeter of the parallelogram shown below.

    clipboard_eee5ffb951d769773aa62a1a289600ba0.png

    16. Find the circumference of the circle pictured below. Round your answer to the nearest hundredth.

    clipboard_e11b3602b9f83f1d21bf3f12d984a2f69.png

    17. Find the circumference of the circle pictured below. Round your answer to the nearest hundredth.

    clipboard_e9c52cbd8dc39d1ab1c113968e5bb5dce.png

    18. Find the area of the rectangle pictured below.

    clipboard_ef3cfdf2bf62e1b71b5bfb83430037f13.png

    19. Find the area of the figure pictured below and state the correct units.

    clipboard_e82856fe51e9b0790ce910f6df9258272.png

    20. Find the area of the parallelogram shown below.

    clipboard_ee5fe00dae28c99bc4a18207e5a70499d.png

    21. The area of a triangle can be found using the formula: \(\text{Area } = \dfrac{1}{2} \cdot \text{base} \cdot \text{height}\). Find the area of the triangle pictured below, where the measurements are given in meters (m).

    clipboard_e878643b7bbd30f45e5bb56cd27e2bcf0.png

    22. Find the area of the circle pictured below. Round your answer to the nearest hundredth.

    clipboard_e1b68fe322566ffc2f5c28b62cdc356b5.png

    23. Find the area of the shaded area. Round your answer to the nearest tenth.

    clipboard_e7453e7fbef849482225c4a3610761329.png

    24. Match the formula for each volume to the figure to which it applies.

    Figure Volume

    ________ Right Circular Cylinder A. \(V = \pi r^2 h\)

    ________ Rectangular Solid B. \(V = \dfrac{4}{3} \pi r^3\)

    ________ Sphere C. \(V = l\)

    25. The volume of a cylinder with height \(h\) and radius \(r\) can be found using the formula \(V = \pi r^2 h\).

    Sketch a cylinder with radius \(7\) feet and height \(4\) feet, then find the volume and select the correct units. Round your answer to the nearest tenth.

    26. The volume of a cone with height \(h\) and radius \(r\) can be found using the formula \(V = \dfrac{1}{3} \pi r^2 h\).

    Sketch a cone with radius \(9\) feet and height \(3\) feet, then find the volume and select the correct units. Round your answer to the nearest tenth.

    27. A sports ball has a diameter of \(26 \text{ cm}\). Find the volume of the ball and select the correct units. Round your answer to 2 decimal places.


    2.4: Exercises is shared under a CC BY-NC-SA license and was authored, remixed, and/or curated by LibreTexts.

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