Find the radius of a circle given that a central angle of measure pi/4 intercepts an arc of length 1.5in

Given:

Central angle =

Arc length = 1.5 in

To find:

The radius of the circle.

Solution:

We know that the formula for arc length is

Where r is radius and is the central angle in radian.

Substitute the given values in the above formula.

On further simplifiation, we get

Therefore, the radius of the circle is 1.91 in.

3: 2

step-by-step explanation:

shorter piece is 2: 3, so just reverse it, and you get 3: 2