Points r and s lie on circle o with radius 2, and the area of sector ros is pi/2. what fraction of the area od the circle is the area of sector ros? explain.

Step-by-step

Yes, there is a way.  However, the equation involved is much simpler if we use radians for angles.

A complete circle (360 degrees) equals 2pi radians.

For example, 90 degrees equals 1/4 of 2pi = pi/2 radians, etc.

The area of a sector of radius r subtending an angle of alpha has an area of Area of sector = r^2(alpha)/2

which means that the area of a complete circle (angle alpha=2pi)

Area of circle = r^2(2pi)/2 = pi (r^2)  as we all know.

So for given, A=pi/2

Area of sector = r^2(alpha)/2 = 2(alpha) = pi/2, we solve for

alpha = pi/2/2 = pi/4  (which is same as 45 degrees).

Therefore the fraction of the sector

= (pi/4)/ (pi/2) = 1/8

From the above, a simple formula can be found, which is dividing simply the area of the sector by the area of the circle, pi(r^2), i.e. (pi/2)/(pi(2^2))=(pi/2)/(pi/4) = 1/8

spinning a 1, 2, or 3. option d.

step-by-step explanation: when spinning a number graph up to 4, and aiming for any number less than 3, that automatically eliminates the number 4. now you have two numbers to spin on that are less than 3, but the number 3 is included in this question because it's no greater of an number than itself. i hope this you : )