Question

A wheel with a 24-in radius is marked at 2 points on the rim. the distance between the marks along the wheel is found to be 6 in. What is the angle between the radii to the marks?

Answer 1

Since any point on the circumference of a circle is an equal distance from the center, therefore, the radiuses are equal distances from the two points--both measure 24 inches.

Explanation:

We now have enough information to deploy the formula `s = theta xx r`, where s is the arc length (6 inches in this case), `theta` is the center angle in radians and `r` is the radius.

Therefore, we have that:

`6 = 24 xx theta`

`6/24 = theta`

`theta = 1/4" radians" or "14.32˚"`

Hopefully this helps!