Question

A missing piece of a board game, a circular disk, had an area of 100,608.7, the replacement disks are listed using circumferences, what size circumference should be ordered 1. 1,124.12 mm 2. 0.7 mm 3. 179 mm 4. 1,263,645.774 mm

Answer 1

1,124.12 mm

Explanation:

Steps to answering this question :

First determine the radius of the circle from the area of the circle

Use the radius determined above to calculate the circumference

Area of a circle = nr²

where r = radius

n = pi = 3.14

100,608.7mm = nr²

to determine the radius, divide both sides of the equation by 3.14

32,040.98726mm = r²

Find the square root of 32,040.98726mm

√32,040.98726mm

r = 179mm

Circumference of a circle = 2nr

2 x 179 x 3.14 = 1,124.12 mm