BECE Mathematics 2026 Paper

Concept:Both the area and the circumference of a circle depend on its radius $r$. Use the area to find $r$, then use $r$ in the circumference formula.Formula used:Area $A = \pi r^2$, Circumference $C = 2\pi r$.Given:$A = 100\pi \text{ cm}^2$Solution:$\pi r^2 = 100\pi$Divide both sides by $\pi$: $r^2 = 100$Take the square root (radius is positive): $r = 10 \text{ cm}$$C = 2\pi r = 2 \times \pi \times 10 = 20\pi \text{ cm}$Key point: $10\pi$ (option C) is $\pi r$; the circumference needs the factor 2.Answer:Option D ($20\pi \text{ cm}$)