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IB Mathematics: Applications and Interpretation SL · 12.10: Geometry & Trigonometry · 12.10.11

Name Date

Grazing goat problems I: sectors round a shed Problem set B

Draw a sketch and split the grazed region into sectors. Give areas in m² to 3 significant figures unless a question says otherwise.

Each question matches the question with the same number in set A. Do the ones you got wrong there.

Difficulty: first skills applying them stretch

Skills

  1. A llama is tied by a 6 m rope to the corner of a greenhouse that measures 10 m by 8 m. Find the area of grass the llama can graze.

  2. A donkey is tied by a 13 m rope to a corner of a barn that measures 11 m by 7 m. Find the area of grass it can graze.

    11 m7 m13 mX

  3. A summer house measures 15 m by 8 m. A ram is tied by an 11 m rope to a hook on a 15 m wall, 5 m from the nearest corner. Find the area of grass the ram can graze.

    15 m8 m11 mX

In context

  1. A pony is tied by a 12 m rope to a corner of a stable that measures 15 m by 9 m. The rope is longer than the short wall and shorter than the long wall. Find the area of grass the pony can graze.

    15 m9 m12 mX

jmaths.xyz · AI SL · 12.10.11 Grazing goat problems: sectors round a shed