A circle with a 32 inch diameter has a central angle that intercepts an arc measuring approximately 75.36 centimeters. Which option describes how to determine this angles measure in radians? A. Divide 75.36 by 16
B. Divide 75.36 by 32
C. Divide 16 by 75.36
D. Divide 32 by 75.36

Complete Question

A circle with a 32 inch diameter has a central angle that intercepts an arc measuring approximately 75.36 inches. Which option describes how to determine this angles measure in radians?

A. Divide 75.36 by 16

B. Divide 75.36 by 32

C. Divide 16 by 75.36

D. Divide 32 by 75.36

A. Divide 75.36 by 16

Step-by-step explanation:

The formula for Arc length is given as:

S = r θ

Where S = arc length

r = radius

We are told that:

Diameter of a circle = 32 inches

Radius of a circle = Diameter/2

= 32/2 = 16

Arc Length = 75.36 centimeters

The formula for Central angle =

θ = Central angle

θ = S/r

= 75.36/16

Option A is correct

step-by-step explanation:

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: