Question

If someone walks along the outside of the garden from point a to point B what percentage of the gardens border with they will have walked around round your answer to the nearest whole percentage

Answer 1

In the graph, we can see that the circle is divided into four pieces, by two axes which is the diameters. When an angle is a central angle, the opposed arc is the same value. Since angle m

So, arc AB = 90º - arc EA ; 90º - 50º= 40º

So, which percentage of the garden's border is AB?

40º/360º = 20/180º = 10/90º = 1/9 = 0.111 x 100% = 11.1% = 11%

So, the person has walked 11% of the whole garden