Question

#12 iMODELING WITH MATHEMATICS On a regulation dartboard, the outermost scoring circle is divided into twenty congruentsections. What is the measure m of each arc in this circle?The measure of each arc is

Answer 1

Given that the outermost scoring circle on the regulation dartboard is divided into twenty congruent sections, you need to remember that, by definition, a circle has 360 degrees.

Let be "m" the measure (in degrees) of each arc in the given circle.

Knowing that the outermost scoring circle is divided into 20 equal parts, you need to divide 360 degrees by 20, in order to find the value of "m". Then, you get:

`m=\frac{360\text{\degree}}{20}`
`m=18\text{\degree}`

Hence, the answer is:

`18\text{\degree}`