# A circle has a center at #(7 ,6 )# and passes through #(2 ,1 )#. What is the length of an arc covering #pi/8# radians on the circle?

##### 1 Answer

#### Explanation:

We know the center and a point on the circle. The distance between the two points is the radius (draw a picture and convince yourself this).

We know that the distance between two points

Thus, radius

By definition, a radian is the angle subtended by an arc of length equal to the radius. Thus, an arc which subtends an angle of

**Hint to remember**

Note that the circumference subtends and angle of