Parts of a circle

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Across
  1. 2. Perimeter of a circle
  2. 4. The region enclosed by a chord and an arc
  3. 5. Part of the circumference
  4. 7. The region enclosed by two radii and an arc
  5. 8. A straight line from the centre of the circle to any point on the circumference
Down
  1. 1. A straight line that touches the circumference through the centre of the circle
  2. 3. A fixed point where all the points on the circumference are equidistance from it
  3. 6. A straight line that joins on the circumference