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.

$25

step-by-step explanation:

25 - 4.50 = 20.5

20.5 / 2 = 10.25

10.25 + 10 = 20.25

20.25 - 12.50 = 7.75

therefore the answer is $25 as shown as the first number.