In a circle with an 8-inch radius, a central angle has a measure of 60°. how long is the segment joining the endpoints of the arc cut off by the angle?

The length of segment joining the endpoints of the arc is

Step-by-step explanation:

we know that

In the triangle ABC

see the attached figure to better understand the problem

-----> is the radius of the circle  

----> given problem (central angle)

Initially the triangle ABC is an isosceles triangle

Remember that

the sum of the internal angles of triangle must be equal to

For this particular case, the isosceles triangle ABC becomes an equilateral triangle, as the three angles are equal to

The equilateral triangle has three equal sides and tree equal angles

so

Hence

The length of segment joining the endpoints of the arc is

in the math equation 8 x 7 = 56, the 8 and the 7 are both factors of 56, since in this lesson we will use square tiles to figure out the factors of a whole find as many different arrays as you can, but follow one important rule: all the rows must have the i can make two rows of nine, so 2 and 9 are both factors of 18.

step-by-step explanation: