Perimeter And The Area Of A Semicircle - BBC Bitesize - BBC

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In this guide

  1. Revise
  2. Test
  1. Perimeter and area
  2. Rectangles
  3. Area of a triangle
  4. Rhombus and kite
  5. Area of a parallelogram
  6. Circumference and area of a circle
  7. Perimeter and the area of a semicircle
  8. Area of a combined shape
  9. Situations involving perimeter
  10. Situations involving area
  11. Perimeter and area - video summaries

Perimeter and the area of a semicircle

Perimeter of a semicircle

Remember that the perimeter is the distance round the outside.

The perimeter of a semicircle is half of the circumference plus the diameter.

Diagram of a semicircle with a 4cm radius.

\(Circumference\, of\, circle=\pi d=\pi\,\times 8=25.12cm\)

\(Half\, of\, circumference = 12.56cm\)

\(Perimeter = 12.56+8=20.56cm \)

Area of a semicircle

A semicircle is half of a circle. The area is half the area of a circle.

For this semicircle:

Diagram of a semicircle with a 4cm radius

\(A = \frac{1}{2} \pi r^{2}\)

\( = \frac{1}{2}\times \pi \times 4 \times 4\)

\(=25.13cm^{2}\)

Next pageArea of a combined shapePrevious pageCircumference and area of a circle

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