GCSE Maths Practice: perimeter-and-area

Question 3 of 10

This question introduces calculating the area of a semicircle using radius and π. It builds on circle area knowledge.

‹ ›

\( \begin{array}{l}\text{Find the area of a semicircle with radius } 6\,\text{cm}, \text{ giving your answer in terms of } \pi.\end{array} \)

Choose one option:

Calculate full circle area first, then halve it. Keep π in your answer.

To find the area of a semicircle, first calculate the area of the full circle using the formula A = π r², where r is the radius. Then divide the result by 2 because a semicircle is half of a circle. For example, with radius 6 cm, full circle area = π × 6² = 36π cm², semicircle area = 36π ÷ 2 = 18π cm². Understanding this method allows solving problems involving sectors and composite shapes. Practice converting between fractions of a circle and areas to strengthen skills.