BECE Mathematics 2015 Paper

Area of a circle $= \pi r^2$Where $r =$ radius of the circle.Circumference of a circle $= 2 \pi r$Circumference $= 440 \text{ m}$$440 \text{ m} = 2 \pi r$$\pi = \frac{22}{7}$ $440 \text{ m} = 2 \times \frac{22}{7} \times r$Solve for the value of $r$ radius which is needed to calculate for the area of the circle.Get rid of the fraction by multiplying both sides of the equation by the denominator (7).$440 \times 7 = 2 \times 22 \times r$Divide both sides of the equation by $2 \times 22$ to make $r$ the subject$r = \frac{440 \times 7}{2 \times 22}$22 divides 440,20 times and itself once. 2 divides itself once and 20,10 times.$r = 10 \times 7$Substitute the value of $r$ in the area equation to calculate for the areaArea $= \pi r^2$$r^2 = r \times r$$\text{ Area } = \pi \times r \times r$$\pi = \frac{22}{7}$$r = 10 \times 7$$\text{ Area } = \frac{22}{7} \times 10 \times 7 \times 10 \times 7$Note: The denominator $7$ cancels one of the 7 s$\text{ Area } = 22 \times 10 \times 7 \times 10$$\text{ Area } = 15,400 \text{ m}^2$