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Find the angle or radius from an arc length or sector area

10th grade (Year 11 in England) · 16 questions · Common Core: HSG.C.B.5 · England: GCSE Higher Geometry

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Date

Score/ 16

  1. Question 1

    A sector of radius 6 cm has area 6π cm². Find the angle of the sector in degrees.

    Answer

  2. Question 2

    A sector has angle 36° and arc length 1π cm. Find the radius.

    Answer

  3. Question 3

    A sector of a circle with radius 6 cm has an arc length of 5π cm. Find the angle of the sector in degrees.

    Answer

  4. Question 4

    A sector of radius 6 cm has area 3π cm². Find the angle of the sector in degrees.

    Answer

  5. Question 5

    A sector has angle 60° and arc length 5π cm. Find the radius.

    Answer

  6. Question 6

    A sector of a circle with radius 6 cm has an arc length of 5π cm. Find the angle of the sector in degrees.

    Answer

  7. Question 7

    A sector of radius 4 cm has area 2.666667π cm². Find the angle of the sector in degrees.

    Answer

  8. Question 8

    A sector has angle 90° and arc length 8π cm. Find the radius.

    Answer

  9. Question 9

    A sector of a circle with radius 9 cm has an arc length of 4.5π cm. Find the angle of the sector in degrees.

    Answer

  10. Question 10

    A sector of radius 2 cm has area 2π cm². Find the angle of the sector in degrees.

    Answer

  11. Question 11

    A sector has angle 45° and arc length 4π cm. Find the radius.

    Answer

  12. Question 12

    A sector of a circle with radius 4 cm has an arc length of 6π cm. Find the angle of the sector in degrees.

    Answer

  13. Question 13

    A sector of radius 3 cm has area 3.75π cm². Find the angle of the sector in degrees.

    Answer

  14. Question 14

    A sector has angle 90° and arc length 10π cm. Find the radius.

    Answer

  15. Question 15

    A sector of a circle with radius 5 cm has an arc length of 5π cm. Find the angle of the sector in degrees.

    Answer

  16. Question 16

    A sector of radius 12 cm has area 108π cm². Find the angle of the sector in degrees.

    Answer

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  1. 60
  2. 5
  3. 150
  4. 30
  5. 15
  6. 150
  7. 60
  8. 16
  9. 90
  10. 180
  11. 16
  12. 270
  13. 150
  14. 20
  15. 180
  16. 270