August 2020
Problem of the Month

The Prayer Circle Problem



This problem was inspired from a story in my hometown newspaper about a group of neighbors who stood in a circle using social distancing guidelines during the coronavirus pandemic and shared devotionals and stories.
Click here for the story



If 8 people stand in a circle with six feet of required social distance between them (along a chord):

(1) What is the circumference of the circle?

(2) What is the diameter of the circle?

(3) How far in a straight line (chord) is Person A from Person C?


(4) Now, if the largest space that the neighbors have to gather in is a square 25 feet by 25 feet,

what is the maximum number of people who could stand in a circle and still be 6 feet apart?



Send your solution by the end of the month to: mathpage@gmail.com