AI generatedGeometry and measuresKS3 / GCSE

Perimeter of a sector

Perimeter of a sector.

  • A sector uses the fraction of the whole circle.
  • Arc length comes from circumference; sector area comes from circle area.
  • Perimeter includes straight edges too. An annulus is outer-circle area minus inner-circle area.

Example 1

Find the perimeter of the sector. Give an exact answer.

Circle geometry, not to scaleNot to scale
Choose the formula for this shape.Add both straight radii to the curved arc length.

Example 2

Find the perimeter of the sector. Give an exact answer.

Circle geometry, not to scaleNot to scale
Choose the formula for this shape.Add both straight radii to the curved arc length.

Your turn

Question 1

Find the perimeter of the sector. Give an exact answer.

Circle geometry, not to scaleNot to scale
Check answer
Choose the formula for this shape.Add both straight radii to the curved arc length.
Question 2

Find the perimeter of the sector. Give an exact answer.

Circle geometry, not to scaleNot to scale
Check answer
Choose the formula for this shape.Add both straight radii to the curved arc length.
Question 3

Find the perimeter of the sector. Give an exact answer.

Circle geometry, not to scaleNot to scale
Check answer
Choose the formula for this shape.Add both straight radii to the curved arc length.
Question 4

Find the perimeter of the sector. Give an exact answer.

Circle geometry, not to scaleNot to scale
Check answer
Choose the formula for this shape.Add both straight radii to the curved arc length.
Question 5

Find the perimeter of the sector. Give an exact answer.

Circle geometry, not to scaleNot to scale
Check answer
Choose the formula for this shape.Add both straight radii to the curved arc length.